Atkin-Lehner |
2- 3- 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
31878bn |
Isogeny class |
Conductor |
31878 |
Conductor |
∏ cp |
2760 |
Product of Tamagawa factors cp |
deg |
3179520 |
Modular degree for the optimal curve |
Δ |
-4.4106222418527E+22 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 11+ -3 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,5322901,-8931881541] |
[a1,a2,a3,a4,a6] |
Generators |
[1967:94650:1] |
Generators of the group modulo torsion |
j |
22879231194490519393943/60502362714028376064 |
j-invariant |
L |
6.6731725655419 |
L(r)(E,1)/r! |
Ω |
0.058652958794904 |
Real period |
R |
0.041222407131923 |
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 |
10626c1 |
Quadratic twists by: -3 |