Atkin-Lehner |
2+ 3+ 7+ 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
38346a |
Isogeny class |
Conductor |
38346 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
10320 |
Modular degree for the optimal curve |
Δ |
-12424104 = -1 · 23 · 35 · 7 · 11 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7+ 11- 7 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3,-171] |
[a1,a2,a3,a4,a6] |
j |
-4826809/12424104 |
j-invariant |
L |
1.0201239994204 |
L(r)(E,1)/r! |
Ω |
1.0201239994071 |
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 |
115038ba1 |
Quadratic twists by: -3 |