Atkin-Lehner |
2+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
36400bb |
Isogeny class |
Conductor |
36400 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
70656 |
Modular degree for the optimal curve |
Δ |
-519384320000 = -1 · 211 · 54 · 74 · 132 |
Discriminant |
Eigenvalues |
2+ -3 5- 7- -5 13- -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,725,33850] |
[a1,a2,a3,a4,a6] |
Generators |
[25:-260:1] [-15:140:1] |
Generators of the group modulo torsion |
j |
32925150/405769 |
j-invariant |
L |
5.5939943802479 |
L(r)(E,1)/r! |
Ω |
0.6852074231861 |
Real period |
R |
0.085041073436261 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18200z1 36400c1 |
Quadratic twists by: -4 5 |