Atkin-Lehner |
2- 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21294ce |
Isogeny class |
Conductor |
21294 |
Conductor |
∏ cp |
34 |
Product of Tamagawa factors cp |
deg |
91392 |
Modular degree for the optimal curve |
Δ |
57309967024128 = 217 · 37 · 7 · 134 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -3 13+ 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-41099,-3175909] |
[a1,a2,a3,a4,a6] |
Generators |
[-117:202:1] |
Generators of the group modulo torsion |
j |
368728437337/2752512 |
j-invariant |
L |
8.578226886312 |
L(r)(E,1)/r! |
Ω |
0.33545788884389 |
Real period |
R |
0.75210868238456 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7098j1 21294bh1 |
Quadratic twists by: -3 13 |