Atkin-Lehner |
2- 5- 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
68900g |
Isogeny class |
Conductor |
68900 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
680332159520000 = 28 · 54 · 134 · 533 |
Discriminant |
Eigenvalues |
2- 0 5- 3 -3 13- 5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-69200,6893300] |
[a1,a2,a3,a4,a6] |
j |
229045631385600/4252075997 |
j-invariant |
L |
2.0411889132195 |
L(r)(E,1)/r! |
Ω |
0.51029722862288 |
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 |
68900c1 |
Quadratic twists by: 5 |