Atkin-Lehner |
2- 5- 73- |
Signs for the Atkin-Lehner involutions |
Class |
116800df |
Isogeny class |
Conductor |
116800 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
1593413632000 = 215 · 53 · 733 |
Discriminant |
Eigenvalues |
2- -3 5- 3 -3 4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3820,67600] |
[a1,a2,a3,a4,a6] |
Generators |
[210:-2920:1] [0:260:1] |
Generators of the group modulo torsion |
j |
1505060136/389017 |
j-invariant |
L |
8.2751020607124 |
L(r)(E,1)/r! |
Ω |
0.79050749643661 |
Real period |
R |
0.4361703349559 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999910222 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116800dd1 58400s1 116800ct1 |
Quadratic twists by: -4 8 5 |