Atkin-Lehner |
2+ 3+ 5- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
118320i |
Isogeny class |
Conductor |
118320 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
3095106518304000000 = 211 · 34 · 56 · 175 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 0 0 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-60591440,-181516730400] |
[a1,a2,a3,a4,a6] |
Generators |
[244470:2968730:27] |
Generators of the group modulo torsion |
j |
12012339246499937490556322/1511282479640625 |
j-invariant |
L |
5.1904018791879 |
L(r)(E,1)/r! |
Ω |
0.0541123928517 |
Real period |
R |
7.9932427503491 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999552966 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59160y2 |
Quadratic twists by: -4 |