Atkin-Lehner |
2- 37- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
111296i |
Isogeny class |
Conductor |
111296 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1147392 |
Modular degree for the optimal curve |
Δ |
-1091098267490742272 = -1 · 212 · 376 · 473 |
Discriminant |
Eigenvalues |
2- 0 2 0 -6 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3356,-50256192] |
[a1,a2,a3,a4,a6] |
Generators |
[74730864:2415375984:68921] |
Generators of the group modulo torsion |
j |
1020539034432/266381412961607 |
j-invariant |
L |
6.930248894865 |
L(r)(E,1)/r! |
Ω |
0.12674447170883 |
Real period |
R |
9.1131507159604 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000008121 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111296l1 55648a1 |
Quadratic twists by: -4 8 |