Atkin-Lehner |
2- 3- 5+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
93240bl |
Isogeny class |
Conductor |
93240 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
135936 |
Modular degree for the optimal curve |
Δ |
-94737807360 = -1 · 211 · 36 · 5 · 73 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -6 -3 -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5403,-153578] |
[a1,a2,a3,a4,a6] |
Generators |
[734:19782:1] |
Generators of the group modulo torsion |
j |
-11683450802/63455 |
j-invariant |
L |
3.0929557793971 |
L(r)(E,1)/r! |
Ω |
0.27833625345597 |
Real period |
R |
5.5561496920652 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000497 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10360c1 |
Quadratic twists by: -3 |