Atkin-Lehner |
3+ 11- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
108537f |
Isogeny class |
Conductor |
108537 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
864000 |
Modular degree for the optimal curve |
Δ |
-41631101508551841 = -1 · 310 · 119 · 13 · 23 |
Discriminant |
Eigenvalues |
1 3+ 1 3 11- 13+ 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-202072,-36399227] |
[a1,a2,a3,a4,a6] |
Generators |
[123199466300644:6585938223946297:41314084993] |
Generators of the group modulo torsion |
j |
-515097425213281/23499671481 |
j-invariant |
L |
8.6401271355351 |
L(r)(E,1)/r! |
Ω |
0.11228890831255 |
Real period |
R |
19.23637709498 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9867f1 |
Quadratic twists by: -11 |