Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600fa |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
2205000000000 = 29 · 32 · 510 · 72 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 0 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10208,393912] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:762:1] |
Generators of the group modulo torsion |
j |
480200/9 |
j-invariant |
L |
6.8142321566092 |
L(r)(E,1)/r! |
Ω |
0.82267738456728 |
Real period |
R |
4.1414971877067 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010946 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117600hc1 117600dy1 117600gk1 |
Quadratic twists by: -4 5 -7 |