Atkin-Lehner |
3+ 7- 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
128037g |
Isogeny class |
Conductor |
128037 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3686400 |
Modular degree for the optimal curve |
Δ |
-1699796630845529307 = -1 · 312 · 710 · 132 · 67 |
Discriminant |
Eigenvalues |
-2 3+ 2 7- -6 13- 5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-606832,-192256506] |
[a1,a2,a3,a4,a6] |
j |
-210059153328443392/14448032969643 |
j-invariant |
L |
0.68151196502898 |
L(r)(E,1)/r! |
Ω |
0.085188977302172 |
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 |
18291f1 |
Quadratic twists by: -7 |