Atkin-Lehner |
2- 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
4662p |
Isogeny class |
Conductor |
4662 |
Conductor |
∏ cp |
70 |
Product of Tamagawa factors cp |
deg |
4480 |
Modular degree for the optimal curve |
Δ |
-174080721024 = -1 · 27 · 37 · 75 · 37 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 0 -2 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,472,19563] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:129:1] |
Generators of the group modulo torsion |
j |
15983964359/238793856 |
j-invariant |
L |
5.2957856532155 |
L(r)(E,1)/r! |
Ω |
0.75407055342797 |
Real period |
R |
0.10032758926376 |
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 |
37296by1 1554a1 116550bc1 32634cc1 |
Quadratic twists by: -4 -3 5 -7 |