Atkin-Lehner |
2- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
67600cq |
Isogeny class |
Conductor |
67600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
808704 |
Modular degree for the optimal curve |
Δ |
-5429503678976000000 = -1 · 215 · 56 · 139 |
Discriminant |
Eigenvalues |
2- -1 5+ 3 0 13- 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,201392,106507712] |
[a1,a2,a3,a4,a6] |
Generators |
[-3123582:2904434:9261] |
Generators of the group modulo torsion |
j |
1331/8 |
j-invariant |
L |
5.6908945003436 |
L(r)(E,1)/r! |
Ω |
0.17453401497305 |
Real period |
R |
8.1515550147119 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000664 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8450v1 2704m1 67600cr1 |
Quadratic twists by: -4 5 13 |