Atkin-Lehner |
2- 3- 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
31878bp |
Isogeny class |
Conductor |
31878 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-1622737221336 = -1 · 23 · 39 · 7 · 112 · 233 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 11- -1 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-20939,-1162573] |
[a1,a2,a3,a4,a6] |
Generators |
[237:2554:1] |
Generators of the group modulo torsion |
j |
-1392658229178217/2225976984 |
j-invariant |
L |
7.1661966519465 |
L(r)(E,1)/r! |
Ω |
0.19842234941513 |
Real period |
R |
3.009656200973 |
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 |
10626f1 |
Quadratic twists by: -3 |