Atkin-Lehner |
2+ 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
69696bo |
Isogeny class |
Conductor |
69696 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-23123460096 = -1 · 218 · 36 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 1 2 11- 1 -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17292,875248] |
[a1,a2,a3,a4,a6] |
Generators |
[78:32:1] |
Generators of the group modulo torsion |
j |
-24729001 |
j-invariant |
L |
7.5012186528038 |
L(r)(E,1)/r! |
Ω |
1.1279935674527 |
Real period |
R |
0.831256807329 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000342 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69696fu1 1089f1 7744l1 69696bq2 |
Quadratic twists by: -4 8 -3 -11 |