Atkin-Lehner |
2+ 17+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
47974c |
Isogeny class |
Conductor |
47974 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
437760 |
Modular degree for the optimal curve |
Δ |
-314969399976032 = -1 · 25 · 179 · 83 |
Discriminant |
Eigenvalues |
2+ -1 0 4 3 -7 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-203895,35362549] |
[a1,a2,a3,a4,a6] |
Generators |
[1334:18985:8] |
Generators of the group modulo torsion |
j |
-38837676489625/13048928 |
j-invariant |
L |
3.7609273337625 |
L(r)(E,1)/r! |
Ω |
0.53300723353834 |
Real period |
R |
1.7640132708768 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2822a1 |
Quadratic twists by: 17 |