Atkin-Lehner |
2- 3+ 5+ 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
122640z |
Isogeny class |
Conductor |
122640 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
9843484970188800 = 224 · 38 · 52 · 72 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-57456,-2286144] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:810:1] |
Generators of the group modulo torsion |
j |
5121267797319409/2403194572800 |
j-invariant |
L |
4.5382434155215 |
L(r)(E,1)/r! |
Ω |
0.32274551680964 |
Real period |
R |
1.7576710122559 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997833228 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15330z1 |
Quadratic twists by: -4 |