Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800jp |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
-867041280000 = -1 · 220 · 33 · 54 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -5 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14408,662388] |
[a1,a2,a3,a4,a6] |
Generators |
[94:384:1] |
Generators of the group modulo torsion |
j |
-2637114025/6912 |
j-invariant |
L |
7.5143835314343 |
L(r)(E,1)/r! |
Ω |
0.89131747872966 |
Real period |
R |
0.70255396371849 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000103 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7350p1 58800fi1 58800gn1 |
Quadratic twists by: -4 5 -7 |