Atkin-Lehner |
5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
70225b |
Isogeny class |
Conductor |
70225 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4121280 |
Modular degree for the optimal curve |
Δ |
-1.3663083622306E+22 |
Discriminant |
Eigenvalues |
1 1 5+ -3 4 0 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4109626,-6474144227] |
[a1,a2,a3,a4,a6] |
Generators |
[21229627585317631711675843:946012347166384940105673584:5824304175584032709039] |
Generators of the group modulo torsion |
j |
-2809/5 |
j-invariant |
L |
7.9893499574975 |
L(r)(E,1)/r! |
Ω |
0.050030665693808 |
Real period |
R |
39.922264908452 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14045d1 70225g1 |
Quadratic twists by: 5 53 |