Atkin-Lehner |
2+ 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
51520w |
Isogeny class |
Conductor |
51520 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
10617241600 = 214 · 52 · 72 · 232 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 0 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-892,8976] |
[a1,a2,a3,a4,a6] |
Generators |
[30:96:1] |
Generators of the group modulo torsion |
j |
4790692944/648025 |
j-invariant |
L |
5.191894579685 |
L(r)(E,1)/r! |
Ω |
1.2341460535596 |
Real period |
R |
2.1034360417461 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000025 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
51520cd2 6440e2 |
Quadratic twists by: -4 8 |