Atkin-Lehner |
3+ 31- 47- |
Signs for the Atkin-Lehner involutions |
Class |
4371b |
Isogeny class |
Conductor |
4371 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1248 |
Modular degree for the optimal curve |
Δ |
1171948149 = 33 · 314 · 47 |
Discriminant |
Eigenvalues |
0 3+ 1 -3 -1 0 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-455,3509] |
[a1,a2,a3,a4,a6] |
Generators |
[3:46:1] |
Generators of the group modulo torsion |
j |
10440277590016/1171948149 |
j-invariant |
L |
2.4056320667101 |
L(r)(E,1)/r! |
Ω |
1.4919603536098 |
Real period |
R |
0.40309919444066 |
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 |
69936v1 13113f1 109275l1 |
Quadratic twists by: -4 -3 5 |