Atkin-Lehner |
2- 5- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
8540g |
Isogeny class |
Conductor |
8540 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
19680 |
Modular degree for the optimal curve |
Δ |
37837914284800 = 28 · 52 · 7 · 615 |
Discriminant |
Eigenvalues |
2- 1 5- 7- 3 4 7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10900,319300] |
[a1,a2,a3,a4,a6] |
j |
559503855489616/147804352675 |
j-invariant |
L |
3.6383572094825 |
L(r)(E,1)/r! |
Ω |
0.60639286824707 |
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 |
34160y1 76860e1 42700a1 59780f1 |
Quadratic twists by: -4 -3 5 -7 |