Atkin-Lehner |
3- 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
25575o |
Isogeny class |
Conductor |
25575 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1159023284912109375 = 34 · 518 · 112 · 31 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 11- 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-573376,-158929477] |
[a1,a2,a3,a4,a6] |
j |
1334200592015097841/74177490234375 |
j-invariant |
L |
5.5711177419004 |
L(r)(E,1)/r! |
Ω |
0.17409742943439 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76725s3 5115f3 |
Quadratic twists by: -3 5 |