Atkin-Lehner |
5- 13- 83- |
Signs for the Atkin-Lehner involutions |
Class |
70135n |
Isogeny class |
Conductor |
70135 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3759600 |
Modular degree for the optimal curve |
Δ |
-911755 = -1 · 5 · 133 · 83 |
Discriminant |
Eigenvalues |
-2 -2 5- 4 4 13- 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-35486390,-81377432574] |
[a1,a2,a3,a4,a6] |
j |
-2249464434173438855016448/415 |
j-invariant |
L |
1.5464080414046 |
L(r)(E,1)/r! |
Ω |
0.030928161373028 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70135d1 |
Quadratic twists by: 13 |