Atkin-Lehner |
13- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
102973d |
Isogeny class |
Conductor |
102973 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1520640 |
Modular degree for the optimal curve |
Δ |
-1263291155951203769 = -1 · 134 · 897 |
Discriminant |
Eigenvalues |
-1 -1 3 4 2 13- -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,47361,53950678] |
[a1,a2,a3,a4,a6] |
j |
23639903/2541929 |
j-invariant |
L |
1.6718431544803 |
L(r)(E,1)/r! |
Ω |
0.20898041001828 |
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 |
1157b1 |
Quadratic twists by: 89 |