Atkin-Lehner |
3+ 29- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
108489b |
Isogeny class |
Conductor |
108489 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1044000 |
Modular degree for the optimal curve |
Δ |
-1270179168874165827 = -1 · 310 · 298 · 43 |
Discriminant |
Eigenvalues |
0 3+ 0 -2 1 -5 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,81297,53457752] |
[a1,a2,a3,a4,a6] |
Generators |
[-280:2943:1] [432:13000:1] |
Generators of the group modulo torsion |
j |
118784000/2539107 |
j-invariant |
L |
7.2414000471055 |
L(r)(E,1)/r! |
Ω |
0.20365871938246 |
Real period |
R |
5.9260905260142 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003135 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108489h1 |
Quadratic twists by: 29 |