Atkin-Lehner |
2- 3- 5+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
112530cp |
Isogeny class |
Conductor |
112530 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
1536000 |
Modular degree for the optimal curve |
Δ |
104518783771607040 = 220 · 3 · 5 · 118 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-183136,-25861120] |
[a1,a2,a3,a4,a6] |
j |
383432500775449/58998128640 |
j-invariant |
L |
4.6634309087608 |
L(r)(E,1)/r! |
Ω |
0.23317155390609 |
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 |
10230l1 |
Quadratic twists by: -11 |