Atkin-Lehner |
2- 3+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
33768n |
Isogeny class |
Conductor |
33768 |
Conductor |
∏ cp |
176 |
Product of Tamagawa factors cp |
deg |
12869120 |
Modular degree for the optimal curve |
Δ |
1.7213191396443E+19 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 6 6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1977322254,33842644730725] |
[a1,a2,a3,a4,a6] |
j |
1979120912964331319793367824384/39845350454728903 |
j-invariant |
L |
4.999947421996 |
L(r)(E,1)/r! |
Ω |
0.11363516868182 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67536c1 33768c1 |
Quadratic twists by: -4 -3 |