Atkin-Lehner |
2+ 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
21294n |
Isogeny class |
Conductor |
21294 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
419328 |
Modular degree for the optimal curve |
Δ |
-2618288562375472896 = -1 · 28 · 39 · 72 · 139 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -4 13- -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-255813,-92353195] |
[a1,a2,a3,a4,a6] |
Generators |
[6410:508275:1] |
Generators of the group modulo torsion |
j |
-8869743/12544 |
j-invariant |
L |
3.0003010330721 |
L(r)(E,1)/r! |
Ω |
0.10095857585196 |
Real period |
R |
7.4295348556408 |
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 |
21294bz1 21294bt1 |
Quadratic twists by: -3 13 |