Atkin-Lehner |
2- 3- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
102336cq |
Isogeny class |
Conductor |
102336 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
60360228864 = 222 · 33 · 13 · 41 |
Discriminant |
Eigenvalues |
2- 3- 1 2 3 13- -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2145,-37089] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:24:1] |
Generators of the group modulo torsion |
j |
4165509529/230256 |
j-invariant |
L |
11.220120529813 |
L(r)(E,1)/r! |
Ω |
0.70391378736891 |
Real period |
R |
2.6566038670169 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999932166 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102336r1 25584p1 |
Quadratic twists by: -4 8 |