Atkin-Lehner |
2- 5+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
109330r |
Isogeny class |
Conductor |
109330 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
10933000 = 23 · 53 · 13 · 292 |
Discriminant |
Eigenvalues |
2- -1 5+ 0 -5 13+ -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-61,-117] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:8:1] [-3:8:1] |
Generators of the group modulo torsion |
j |
29878729/13000 |
j-invariant |
L |
12.712923371044 |
L(r)(E,1)/r! |
Ω |
1.7773770107337 |
Real period |
R |
2.3842106085565 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999983142 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109330f1 |
Quadratic twists by: 29 |