Atkin-Lehner |
2- 3- 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
73800cu |
Isogeny class |
Conductor |
73800 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
-45393918750000 = -1 · 24 · 311 · 58 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 5 2 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3750,-311875] |
[a1,a2,a3,a4,a6] |
Generators |
[50:25:1] |
Generators of the group modulo torsion |
j |
1280000/9963 |
j-invariant |
L |
8.2690857509748 |
L(r)(E,1)/r! |
Ω |
0.31736666404934 |
Real period |
R |
2.171275553457 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001674 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24600o1 73800z1 |
Quadratic twists by: -3 5 |