Atkin-Lehner |
2- 3+ 19+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
21432a |
Isogeny class |
Conductor |
21432 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6784 |
Modular degree for the optimal curve |
Δ |
13030656 = 28 · 3 · 192 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 3 -1 3 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-209,-1083] |
[a1,a2,a3,a4,a6] |
Generators |
[19:38:1] |
Generators of the group modulo torsion |
j |
3962770432/50901 |
j-invariant |
L |
5.6799014259971 |
L(r)(E,1)/r! |
Ω |
1.2561092627333 |
Real period |
R |
1.1304552865165 |
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 |
42864a1 64296b1 |
Quadratic twists by: -4 -3 |