Atkin-Lehner |
2- 3- 5+ 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
39270ci |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-663194459262720 = -1 · 28 · 3 · 5 · 74 · 114 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ 6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-30086,-2362524] |
[a1,a2,a3,a4,a6] |
j |
-3011743403722958689/663194459262720 |
j-invariant |
L |
4.2994873633448 |
L(r)(E,1)/r! |
Ω |
0.17914530680603 |
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 |
117810bn1 |
Quadratic twists by: -3 |