Atkin-Lehner |
2- 3+ 23- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
29256f |
Isogeny class |
Conductor |
29256 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
31680 |
Modular degree for the optimal curve |
Δ |
-39939530544 = -1 · 24 · 36 · 23 · 533 |
Discriminant |
Eigenvalues |
2- 3+ -1 2 2 7 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4411,114652] |
[a1,a2,a3,a4,a6] |
Generators |
[37:-27:1] |
Generators of the group modulo torsion |
j |
-593353292007424/2496220659 |
j-invariant |
L |
5.0267305182192 |
L(r)(E,1)/r! |
Ω |
1.1541301664486 |
Real period |
R |
1.0888569297359 |
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 |
58512d1 87768d1 |
Quadratic twists by: -4 -3 |