Atkin-Lehner |
2+ 3- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
50094v |
Isogeny class |
Conductor |
50094 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10967040 |
Modular degree for the optimal curve |
Δ |
4630738516138328616 = 23 · 36 · 1113 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 3 -3 11- -5 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-316421133,2166517457693] |
[a1,a2,a3,a4,a6] |
Generators |
[1051205:39047024:125] |
Generators of the group modulo torsion |
j |
2712917065234165678953/3585639464 |
j-invariant |
L |
4.9144560477815 |
L(r)(E,1)/r! |
Ω |
0.15582750979275 |
Real period |
R |
7.8844487316329 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000052 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5566h1 4554bg1 |
Quadratic twists by: -3 -11 |