Atkin-Lehner |
2+ 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
92736cq |
Isogeny class |
Conductor |
92736 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-6645797093376 = -1 · 221 · 39 · 7 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 0 -5 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1716,-120976] |
[a1,a2,a3,a4,a6] |
Generators |
[142:1728:1] [61:459:1] |
Generators of the group modulo torsion |
j |
2924207/34776 |
j-invariant |
L |
9.4625744155604 |
L(r)(E,1)/r! |
Ω |
0.36856610461419 |
Real period |
R |
1.6046263981973 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000471 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92736ec1 2898j1 30912k1 |
Quadratic twists by: -4 8 -3 |