Atkin-Lehner |
2+ 5+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
109330g |
Isogeny class |
Conductor |
109330 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
23538311680 = 29 · 5 · 13 · 294 |
Discriminant |
Eigenvalues |
2+ -1 5+ 4 -3 13+ -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-858,5908] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:115:1] [-42:833:8] |
Generators of the group modulo torsion |
j |
98942809/33280 |
j-invariant |
L |
7.1725334977246 |
L(r)(E,1)/r! |
Ω |
1.1051193896259 |
Real period |
R |
2.1634264322312 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109330q1 |
Quadratic twists by: 29 |