Atkin-Lehner |
2- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
67600co |
Isogeny class |
Conductor |
67600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
224972800 = 212 · 52 · 133 |
Discriminant |
Eigenvalues |
2- 1 5+ 2 0 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3813,89363] |
[a1,a2,a3,a4,a6] |
Generators |
[266:169:8] |
Generators of the group modulo torsion |
j |
27258880 |
j-invariant |
L |
8.2263340427323 |
L(r)(E,1)/r! |
Ω |
1.6554653376143 |
Real period |
R |
2.4845986973383 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000099 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4225f1 67600dg2 67600cp1 |
Quadratic twists by: -4 5 13 |