Atkin-Lehner |
2- 3- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
10248g |
Isogeny class |
Conductor |
10248 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
3873744 = 24 · 34 · 72 · 61 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-999,11826] |
[a1,a2,a3,a4,a6] |
Generators |
[6:78:1] |
Generators of the group modulo torsion |
j |
6898185213952/242109 |
j-invariant |
L |
4.8905957948354 |
L(r)(E,1)/r! |
Ω |
2.3197415403363 |
Real period |
R |
2.1082502984908 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
20496a1 81984n1 30744d1 71736i1 |
Quadratic twists by: -4 8 -3 -7 |