Atkin-Lehner |
5- 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
45815o |
Isogeny class |
Conductor |
45815 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
249984 |
Modular degree for the optimal curve |
Δ |
17135092724365 = 5 · 78 · 112 · 173 |
Discriminant |
Eigenvalues |
2 -3 5- 7+ 11- 0 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-6517,36615] |
[a1,a2,a3,a4,a6] |
j |
5309853696/2972365 |
j-invariant |
L |
3.5945707210702 |
L(r)(E,1)/r! |
Ω |
0.59909512019009 |
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 |
45815l1 |
Quadratic twists by: -7 |