Atkin-Lehner |
2- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
34400z |
Isogeny class |
Conductor |
34400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
261120 |
Modular degree for the optimal curve |
Δ |
-26875000000000000 = -1 · 212 · 516 · 43 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 -3 -5 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-65533,-10171563] |
[a1,a2,a3,a4,a6] |
j |
-486329388544/419921875 |
j-invariant |
L |
0.5759079494553 |
L(r)(E,1)/r! |
Ω |
0.14397698736412 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34400i1 68800bl1 6880c1 |
Quadratic twists by: -4 8 5 |