Atkin-Lehner |
2+ 5+ 7+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
108290a |
Isogeny class |
Conductor |
108290 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
6632762500000 = 25 · 58 · 74 · 13 · 17 |
Discriminant |
Eigenvalues |
2+ -3 5+ 7+ -2 13+ 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9025,308125] |
[a1,a2,a3,a4,a6] |
Generators |
[25:300:1] |
Generators of the group modulo torsion |
j |
33861036798729/2762500000 |
j-invariant |
L |
1.6261309610121 |
L(r)(E,1)/r! |
Ω |
0.73265799015569 |
Real period |
R |
1.1097476456185 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010912 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108290t1 |
Quadratic twists by: -7 |