Atkin-Lehner |
2- 3+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
714g |
Isogeny class |
Conductor |
714 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
55468445663232 = 224 · 34 · 74 · 17 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 4 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-70244,7127525] |
[a1,a2,a3,a4,a6] |
j |
38331145780597164097/55468445663232 |
j-invariant |
L |
1.8827095166557 |
L(r)(E,1)/r! |
Ω |
0.62756983888524 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
5712t1 22848bn1 2142g1 17850o1 |
Quadratic twists by: -4 8 -3 5 |