Atkin-Lehner |
2+ 3- 11+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
95238x |
Isogeny class |
Conductor |
95238 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2534400 |
Modular degree for the optimal curve |
Δ |
-6508739962092386304 = -1 · 211 · 38 · 115 · 133 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 3 -3 11+ 13- 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-365958,-149332172] |
[a1,a2,a3,a4,a6] |
Generators |
[8718:214015:8] |
Generators of the group modulo torsion |
j |
-7435164605825934433/8928312705202176 |
j-invariant |
L |
5.7633560475251 |
L(r)(E,1)/r! |
Ω |
0.092792749727422 |
Real period |
R |
5.1758318603022 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003807 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31746bg1 |
Quadratic twists by: -3 |