Atkin-Lehner |
2- 3- 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
70800cj |
Isogeny class |
Conductor |
70800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
-6959923200 = -1 · 219 · 32 · 52 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 0 -2 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6368,-197772] |
[a1,a2,a3,a4,a6] |
Generators |
[762:20928:1] |
Generators of the group modulo torsion |
j |
-278933783305/67968 |
j-invariant |
L |
8.7555183407294 |
L(r)(E,1)/r! |
Ω |
0.2672124959561 |
Real period |
R |
4.0957657640703 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992911 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8850y1 70800bv1 |
Quadratic twists by: -4 5 |