Atkin-Lehner |
2- 7- 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
121618n |
Isogeny class |
Conductor |
121618 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
1443840 |
Modular degree for the optimal curve |
Δ |
-5141676900269056 = -1 · 210 · 77 · 174 · 73 |
Discriminant |
Eigenvalues |
2- 2 -2 7- 6 2 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-150529,22679551] |
[a1,a2,a3,a4,a6] |
j |
-3206241136852993/43703532544 |
j-invariant |
L |
8.6441709154343 |
L(r)(E,1)/r! |
Ω |
0.43220859815346 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17374d1 |
Quadratic twists by: -7 |