Atkin-Lehner |
2+ 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
104104a |
Isogeny class |
Conductor |
104104 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
41088 |
Modular degree for the optimal curve |
Δ |
-186554368 = -1 · 211 · 72 · 11 · 132 |
Discriminant |
Eigenvalues |
2+ 0 0 7+ 11+ 13+ -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1235,16718] |
[a1,a2,a3,a4,a6] |
Generators |
[22:14:1] |
Generators of the group modulo torsion |
j |
-601877250/539 |
j-invariant |
L |
4.7968472393963 |
L(r)(E,1)/r! |
Ω |
1.7849335690577 |
Real period |
R |
1.3437046891605 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000054683 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104104z1 |
Quadratic twists by: 13 |