Atkin-Lehner |
2- 5+ 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
80080y |
Isogeny class |
Conductor |
80080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
1616421847040 = 222 · 5 · 72 · 112 · 13 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ 11- 13- 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3816,-68300] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:154:1] [-25:110:1] |
Generators of the group modulo torsion |
j |
1500730351849/394634240 |
j-invariant |
L |
7.4866255476746 |
L(r)(E,1)/r! |
Ω |
0.61928930228685 |
Real period |
R |
3.0222650059891 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000018 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10010c1 |
Quadratic twists by: -4 |