Atkin-Lehner |
2+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
100672i |
Isogeny class |
Conductor |
100672 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-210773241536 = -1 · 26 · 117 · 132 |
Discriminant |
Eigenvalues |
2+ 1 1 2 11- 13+ 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-645,22757] |
[a1,a2,a3,a4,a6] |
j |
-262144/1859 |
j-invariant |
L |
3.4381127272561 |
L(r)(E,1)/r! |
Ω |
0.85952820691814 |
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 |
100672cy1 1573b1 9152l1 |
Quadratic twists by: -4 8 -11 |