Atkin-Lehner |
2+ 3- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
4662c |
Isogeny class |
Conductor |
4662 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4992 |
Modular degree for the optimal curve |
Δ |
-41761972224 = -1 · 213 · 39 · 7 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 3 7+ 4 2 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,342,-9612] |
[a1,a2,a3,a4,a6] |
j |
6058428767/57286656 |
j-invariant |
L |
2.2617701908215 |
L(r)(E,1)/r! |
Ω |
0.56544254770536 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37296cg1 1554k1 116550fd1 32634y1 |
Quadratic twists by: -4 -3 5 -7 |