Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680eq |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-1912052146117651200 = -1 · 28 · 321 · 52 · 134 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -2 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-190632,73840156] |
[a1,a2,a3,a4,a6] |
j |
-143737544704/358722675 |
j-invariant |
L |
1.8615278865746 |
L(r)(E,1)/r! |
Ω |
0.2326911004223 |
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 |
30420r1 40560cb1 121680df1 |
Quadratic twists by: -4 -3 13 |