Atkin-Lehner |
2+ 3+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
32946c |
Isogeny class |
Conductor |
32946 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16755200 |
Modular degree for the optimal curve |
Δ |
-6.7337500764686E+26 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -3 0 4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,143647011,1058178762621] |
[a1,a2,a3,a4,a6] |
Generators |
[-216919398374:-109615295846925:122763473] |
Generators of the group modulo torsion |
j |
2764223761785111991/5678278653247488 |
j-invariant |
L |
2.0340194030946 |
L(r)(E,1)/r! |
Ω |
0.035306499321345 |
Real period |
R |
14.402584808691 |
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 |
98838bi1 32946i1 |
Quadratic twists by: -3 17 |