Atkin-Lehner |
5- 13- 83- |
Signs for the Atkin-Lehner involutions |
Class |
70135m |
Isogeny class |
Conductor |
70135 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
352800 |
Modular degree for the optimal curve |
Δ |
-98141878046875 = -1 · 57 · 133 · 833 |
Discriminant |
Eigenvalues |
-2 -2 5- -1 -6 13- 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,6990,422556] |
[a1,a2,a3,a4,a6] |
Generators |
[1655:67437:1] [30:-813:1] |
Generators of the group modulo torsion |
j |
17189492314112/44670859375 |
j-invariant |
L |
3.7462787532795 |
L(r)(E,1)/r! |
Ω |
0.41946809023049 |
Real period |
R |
0.2126433815898 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997416 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70135c1 |
Quadratic twists by: 13 |