Atkin-Lehner |
5+ 13- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
70135d |
Isogeny class |
Conductor |
70135 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
48874800 |
Modular degree for the optimal curve |
Δ |
-4400867239795 = -1 · 5 · 139 · 83 |
Discriminant |
Eigenvalues |
2 -2 5+ -4 -4 13- 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-5997199966,-178762230564745] |
[a1,a2,a3,a4,a6] |
j |
-2249464434173438855016448/415 |
j-invariant |
L |
0.017155853012098 |
L(r)(E,1)/r! |
Ω |
0.0085779285912522 |
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 |
70135n1 |
Quadratic twists by: 13 |