Atkin-Lehner |
2- 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
121520bd |
Isogeny class |
Conductor |
121520 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
725760 |
Modular degree for the optimal curve |
Δ |
-22691732525056000 = -1 · 215 · 53 · 78 · 312 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 5 1 -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-158123,25263322] |
[a1,a2,a3,a4,a6] |
Generators |
[-441:3038:1] |
Generators of the group modulo torsion |
j |
-18516742209/961000 |
j-invariant |
L |
6.8574857005637 |
L(r)(E,1)/r! |
Ω |
0.37623081488327 |
Real period |
R |
1.5189004180109 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999950805 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15190u1 121520ch1 |
Quadratic twists by: -4 -7 |