Atkin-Lehner |
3- 5- 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
54075be |
Isogeny class |
Conductor |
54075 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
31200 |
Modular degree for the optimal curve |
Δ |
-844921875 = -1 · 3 · 58 · 7 · 103 |
Discriminant |
Eigenvalues |
2 3- 5- 7- 1 -6 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,42,-1381] |
[a1,a2,a3,a4,a6] |
Generators |
[758250166246:11935046495387:3073924664] |
Generators of the group modulo torsion |
j |
20480/2163 |
j-invariant |
L |
15.097931657038 |
L(r)(E,1)/r! |
Ω |
0.75111415621684 |
Real period |
R |
20.100715093804 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54075g1 |
Quadratic twists by: 5 |