Atkin-Lehner |
2+ 3- 11+ 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
31746o |
Isogeny class |
Conductor |
31746 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3041280 |
Modular degree for the optimal curve |
Δ |
-5.5606818460573E+20 |
Discriminant |
Eigenvalues |
2+ 3- 3 -5 11+ 13+ 8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1097507,-1217893642] |
[a1,a2,a3,a4,a6] |
Generators |
[239994:117450037:1] |
Generators of the group modulo torsion |
j |
-146199214743756651424297/556068184605726754104 |
j-invariant |
L |
5.2680763635567 |
L(r)(E,1)/r! |
Ω |
0.067456058837841 |
Real period |
R |
9.7620518718349 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95238cq1 |
Quadratic twists by: -3 |