Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
117600gl |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
-2241354628800 = -1 · 26 · 35 · 52 · 78 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 -3 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-92038,10716908] |
[a1,a2,a3,a4,a6] |
Generators |
[212:882:1] |
Generators of the group modulo torsion |
j |
-9348149440/243 |
j-invariant |
L |
6.9584142254425 |
L(r)(E,1)/r! |
Ω |
0.76191304990499 |
Real period |
R |
0.30442731145597 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999785422 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117600g1 117600bk1 117600fg1 |
Quadratic twists by: -4 5 -7 |