Atkin-Lehner |
5+ 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
45815m |
Isogeny class |
Conductor |
45815 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
219744 |
Modular degree for the optimal curve |
Δ |
-381645247042675 = -1 · 52 · 710 · 11 · 173 |
Discriminant |
Eigenvalues |
2 0 5+ 7- 11- -6 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,16807,-424377] |
[a1,a2,a3,a4,a6] |
j |
1858719744/1351075 |
j-invariant |
L |
1.8031078219397 |
L(r)(E,1)/r! |
Ω |
0.3005179703565 |
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 |
45815n1 |
Quadratic twists by: -7 |