Atkin-Lehner |
2+ 3+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
33768c |
Isogeny class |
Conductor |
33768 |
Conductor |
∏ cp |
176 |
Product of Tamagawa factors cp |
deg |
38607360 |
Modular degree for the optimal curve |
Δ |
1.2548416528007E+22 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -6 6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17795900286,-913751407729575] |
[a1,a2,a3,a4,a6] |
Generators |
[260728:110319587:1] |
Generators of the group modulo torsion |
j |
1979120912964331319793367824384/39845350454728903 |
j-invariant |
L |
4.2910781135315 |
L(r)(E,1)/r! |
Ω |
0.013071323521004 |
Real period |
R |
7.46095086879 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67536f1 33768n1 |
Quadratic twists by: -4 -3 |