Atkin-Lehner |
2- 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
3404a |
Isogeny class |
Conductor |
3404 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
912 |
Modular degree for the optimal curve |
Δ |
5010688 = 28 · 232 · 37 |
Discriminant |
Eigenvalues |
2- -1 0 -5 -5 -4 -8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-93,361] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:23:1] [-5:26:1] |
Generators of the group modulo torsion |
j |
351232000/19573 |
j-invariant |
L |
3.3251648051694 |
L(r)(E,1)/r! |
Ω |
2.3922800867245 |
Real period |
R |
0.23165938523272 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999967 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13616g1 54464c1 30636c1 85100g1 |
Quadratic twists by: -4 8 -3 5 |