Atkin-Lehner |
2+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
67600t |
Isogeny class |
Conductor |
67600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4792320 |
Modular degree for the optimal curve |
Δ |
7.9661203222656E+19 |
Discriminant |
Eigenvalues |
2+ -3 5+ 3 -5 13+ -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4339075,-3452310875] |
[a1,a2,a3,a4,a6] |
Generators |
[-615160:2640625:512] |
Generators of the group modulo torsion |
j |
44302512384/390625 |
j-invariant |
L |
3.2387419780214 |
L(r)(E,1)/r! |
Ω |
0.10466014084817 |
Real period |
R |
2.5787770080195 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985094 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33800x1 13520g1 67600u1 |
Quadratic twists by: -4 5 13 |