Atkin-Lehner |
2+ 17- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
19312c |
Isogeny class |
Conductor |
19312 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4736 |
Modular degree for the optimal curve |
Δ |
42022912 = 211 · 172 · 71 |
Discriminant |
Eigenvalues |
2+ -1 0 -3 2 -5 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-208,1184] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:34:1] [-4:44:1] |
Generators of the group modulo torsion |
j |
488281250/20519 |
j-invariant |
L |
5.8426105142363 |
L(r)(E,1)/r! |
Ω |
2.0142444520206 |
Real period |
R |
0.36258077491392 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9656c1 77248v1 |
Quadratic twists by: -4 8 |