Atkin-Lehner |
2+ 5- 11- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
121550x |
Isogeny class |
Conductor |
121550 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
4704000 |
Modular degree for the optimal curve |
Δ |
-2277905344000000000 = -1 · 215 · 59 · 115 · 13 · 17 |
Discriminant |
Eigenvalues |
2+ 2 5- 3 11- 13+ 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4605575,3803067125] |
[a1,a2,a3,a4,a6] |
j |
-5531531596890364421/1166287536128 |
j-invariant |
L |
2.5213439349815 |
L(r)(E,1)/r! |
Ω |
0.25213448580056 |
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 |
121550cf1 |
Quadratic twists by: 5 |