Atkin-Lehner |
2+ 7- 29- 37- |
Signs for the Atkin-Lehner involutions |
Class |
120176j |
Isogeny class |
Conductor |
120176 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
47104 |
Modular degree for the optimal curve |
Δ |
659525888 = 28 · 74 · 29 · 37 |
Discriminant |
Eigenvalues |
2+ -2 2 7- 2 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-292,-1572] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:14:1] [19:10:1] |
Generators of the group modulo torsion |
j |
10792418128/2576273 |
j-invariant |
L |
9.9870303892684 |
L(r)(E,1)/r! |
Ω |
1.1745897882431 |
Real period |
R |
4.2512843589609 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999993614 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60088g1 |
Quadratic twists by: -4 |