Atkin-Lehner |
2- 3+ 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
112710br |
Isogeny class |
Conductor |
112710 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
190080 |
Modular degree for the optimal curve |
Δ |
-34235662500 = -1 · 22 · 36 · 55 · 13 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 3 13+ 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-10206,392703] |
[a1,a2,a3,a4,a6] |
j |
-406813373046721/118462500 |
j-invariant |
L |
4.5507141655116 |
L(r)(E,1)/r! |
Ω |
1.1376787149344 |
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 |
112710dc1 |
Quadratic twists by: 17 |