Atkin-Lehner |
5- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
111925y |
Isogeny class |
Conductor |
111925 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
252000 |
Modular degree for the optimal curve |
Δ |
-5244136748125 = -1 · 54 · 112 · 375 |
Discriminant |
Eigenvalues |
1 -2 5- -2 11- -4 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-15876,-779077] |
[a1,a2,a3,a4,a6] |
Generators |
[377:6656:1] [673:16794:1] |
Generators of the group modulo torsion |
j |
-5851164003025/69343957 |
j-invariant |
L |
8.3255716005638 |
L(r)(E,1)/r! |
Ω |
0.21251081501059 |
Real period |
R |
2.611811104237 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000521 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111925k1 111925ba1 |
Quadratic twists by: 5 -11 |