Atkin-Lehner |
2+ 5+ 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
11390a |
Isogeny class |
Conductor |
11390 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
1953612800 = 210 · 52 · 17 · 672 |
Discriminant |
Eigenvalues |
2+ -2 5+ 0 2 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-724,7122] |
[a1,a2,a3,a4,a6] |
Generators |
[1:79:1] |
Generators of the group modulo torsion |
j |
41886766402489/1953612800 |
j-invariant |
L |
2.0217233138095 |
L(r)(E,1)/r! |
Ω |
1.4600802564322 |
Real period |
R |
0.69233294022812 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91120k1 102510z1 56950q1 |
Quadratic twists by: -4 -3 5 |