Atkin-Lehner |
2- 3- 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
94050dz |
Isogeny class |
Conductor |
94050 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
-23158872000000000 = -1 · 212 · 36 · 59 · 11 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 11+ 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,69070,2171697] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:1071:1] |
Generators of the group modulo torsion |
j |
25594132123/16265216 |
j-invariant |
L |
13.00961235859 |
L(r)(E,1)/r! |
Ω |
0.23639078938923 |
Real period |
R |
2.2930977230087 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013269 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10450p1 94050cb1 |
Quadratic twists by: -3 5 |