Atkin-Lehner |
2- 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
117600ei |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1209600 |
Modular degree for the optimal curve |
Δ |
259416045000000000 = 29 · 32 · 510 · 78 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 0 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-500208,134111412] |
[a1,a2,a3,a4,a6] |
j |
480200/9 |
j-invariant |
L |
1.2437714854419 |
L(r)(E,1)/r! |
Ω |
0.31094282411458 |
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 |
117600gk1 117600dr1 117600hc1 |
Quadratic twists by: -4 5 -7 |