Atkin-Lehner |
2- 3+ 5- 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
34440r |
Isogeny class |
Conductor |
34440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
958464 |
Modular degree for the optimal curve |
Δ |
2.1204961242707E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 2 -2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3834955,-2880822500] |
[a1,a2,a3,a4,a6] |
Generators |
[2617965240721498125:-217154303524874102725:351492237222517] |
Generators of the group modulo torsion |
j |
389838439041202927077376/1325310077669172525 |
j-invariant |
L |
5.3228390562942 |
L(r)(E,1)/r! |
Ω |
0.10790666122846 |
Real period |
R |
24.66408929577 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68880y1 103320f1 |
Quadratic twists by: -4 -3 |