Atkin-Lehner |
2+ 3- 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
31878q |
Isogeny class |
Conductor |
31878 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
23950080 |
Modular degree for the optimal curve |
Δ |
-1.5729741009633E+26 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11- -1 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3387273237,75882571232373] |
[a1,a2,a3,a4,a6] |
Generators |
[35386:555747:1] |
Generators of the group modulo torsion |
j |
-5895856113332931416918127084625/215771481613620039647232 |
j-invariant |
L |
4.4276217645505 |
L(r)(E,1)/r! |
Ω |
0.053931713899249 |
Real period |
R |
2.2804669936783 |
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 |
10626p1 |
Quadratic twists by: -3 |