Atkin-Lehner |
2- 3+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
17472bz |
Isogeny class |
Conductor |
17472 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7096320 |
Modular degree for the optimal curve |
Δ |
-2.2378269592825E+23 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ 6 13- -8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-443517989,-3595057300803] |
[a1,a2,a3,a4,a6] |
Generators |
[1290753325833369291281515673061667756464502022667931738197810914301106091947580386056639785355786067771107652492:692759592047298661159536394268939806531553193680461970258802920704250573612747874798991140991355151934887682331871:4456524501194500714747225738035068164575284699302584966320311746803472661129003935842121974070341277579353] |
Generators of the group modulo torsion |
j |
-588894491652244161881463808/13658611812026920011 |
j-invariant |
L |
5.425137002419 |
L(r)(E,1)/r! |
Ω |
0.016449062271172 |
Real period |
R |
164.90718172813 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17472bn1 4368h1 52416fq1 122304hs1 |
Quadratic twists by: -4 8 -3 -7 |