Atkin-Lehner |
5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
102245a |
Isogeny class |
Conductor |
102245 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-152848885096925875 = -1 · 53 · 117 · 137 |
Discriminant |
Eigenvalues |
0 -2 5+ 2 11- 13+ 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-109061,-23402934] |
[a1,a2,a3,a4,a6] |
j |
-16777216/17875 |
j-invariant |
L |
1.0082880027925 |
L(r)(E,1)/r! |
Ω |
0.12603597268158 |
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 |
9295b1 7865d1 |
Quadratic twists by: -11 13 |