Atkin-Lehner |
3+ 5- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
70395j |
Isogeny class |
Conductor |
70395 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
846720 |
Modular degree for the optimal curve |
Δ |
-60357460102333875 = -1 · 37 · 53 · 13 · 198 |
Discriminant |
Eigenvalues |
2 3+ 5- -1 -3 13- -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,79300,-8140567] |
[a1,a2,a3,a4,a6] |
j |
1172239069184/1282948875 |
j-invariant |
L |
1.1374249886538 |
L(r)(E,1)/r! |
Ω |
0.18957083128163 |
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 |
3705h1 |
Quadratic twists by: -19 |