Atkin-Lehner |
2- 11+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
21692a |
Isogeny class |
Conductor |
21692 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4848 |
Modular degree for the optimal curve |
Δ |
115488208 = 24 · 114 · 17 · 29 |
Discriminant |
Eigenvalues |
2- 0 2 2 11+ -2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-124,-123] |
[a1,a2,a3,a4,a6] |
Generators |
[-22997:11640:2197] |
Generators of the group modulo torsion |
j |
13178585088/7218013 |
j-invariant |
L |
5.9674595976243 |
L(r)(E,1)/r! |
Ω |
1.5285980266686 |
Real period |
R |
7.807755202497 |
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 |
86768j1 |
Quadratic twists by: -4 |