Atkin-Lehner |
2- 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
40600o |
Isogeny class |
Conductor |
40600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-7358750000 = -1 · 24 · 57 · 7 · 292 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 0 2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,50,4125] |
[a1,a2,a3,a4,a6] |
Generators |
[10:75:1] |
Generators of the group modulo torsion |
j |
55296/29435 |
j-invariant |
L |
5.6485833450842 |
L(r)(E,1)/r! |
Ω |
1.0293934117704 |
Real period |
R |
1.3718232700189 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81200n1 8120c1 |
Quadratic twists by: -4 5 |