Atkin-Lehner |
2+ 5- 19+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
92720b |
Isogeny class |
Conductor |
92720 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
969848882000 = 24 · 53 · 194 · 612 |
Discriminant |
Eigenvalues |
2+ 0 5- 2 0 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7382,-239481] |
[a1,a2,a3,a4,a6] |
j |
2780518903842816/60615555125 |
j-invariant |
L |
1.5472246121851 |
L(r)(E,1)/r! |
Ω |
0.51574153623259 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46360c1 |
Quadratic twists by: -4 |