Atkin-Lehner |
3- 5+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
70395m |
Isogeny class |
Conductor |
70395 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
163200 |
Modular degree for the optimal curve |
Δ |
-1489818731895 = -1 · 32 · 5 · 136 · 193 |
Discriminant |
Eigenvalues |
-1 3- 5+ 2 -4 13- 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-41741,3279456] |
[a1,a2,a3,a4,a6] |
Generators |
[115:1:1] |
Generators of the group modulo torsion |
j |
-1172605988048851/217206405 |
j-invariant |
L |
4.22117651787 |
L(r)(E,1)/r! |
Ω |
0.82405420443339 |
Real period |
R |
0.85374167850797 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995806 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70395a1 |
Quadratic twists by: -19 |