Atkin-Lehner |
2- 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
79768n |
Isogeny class |
Conductor |
79768 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
-8328858643549184 = -1 · 210 · 1310 · 59 |
Discriminant |
Eigenvalues |
2- -1 3 1 2 13+ -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,35096,3576572] |
[a1,a2,a3,a4,a6] |
Generators |
[-10055:59488:125] |
Generators of the group modulo torsion |
j |
967217468/1685099 |
j-invariant |
L |
6.9538362183924 |
L(r)(E,1)/r! |
Ω |
0.28367660405053 |
Real period |
R |
6.1283131190617 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002441 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6136b1 |
Quadratic twists by: 13 |