Atkin-Lehner |
2+ 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
51520a |
Isogeny class |
Conductor |
51520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
13312 |
Modular degree for the optimal curve |
Δ |
-379187200 = -1 · 212 · 52 · 7 · 232 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 0 -4 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,172,352] |
[a1,a2,a3,a4,a6] |
Generators |
[6:40:1] |
Generators of the group modulo torsion |
j |
137388096/92575 |
j-invariant |
L |
4.3156123938595 |
L(r)(E,1)/r! |
Ω |
1.0649768812745 |
Real period |
R |
1.0130765441232 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000113 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51520m1 25760h1 |
Quadratic twists by: -4 8 |