Atkin-Lehner |
2- 3- 7+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
31878bc |
Isogeny class |
Conductor |
31878 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
211680 |
Modular degree for the optimal curve |
Δ |
-2266018667434368 = -1 · 27 · 36 · 73 · 11 · 235 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11+ -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-15941,-2413763] |
[a1,a2,a3,a4,a6] |
Generators |
[275:3596:1] |
Generators of the group modulo torsion |
j |
-614493548699913/3108393233792 |
j-invariant |
L |
6.6124435733419 |
L(r)(E,1)/r! |
Ω |
0.1916826382771 |
Real period |
R |
4.9281187106057 |
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 |
3542b1 |
Quadratic twists by: -3 |