Atkin-Lehner |
2+ 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
7650bh |
Isogeny class |
Conductor |
7650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
-20225376000 = -1 · 28 · 37 · 53 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 2 4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4077,-99419] |
[a1,a2,a3,a4,a6] |
j |
-82256120549/221952 |
j-invariant |
L |
1.1947284003741 |
L(r)(E,1)/r! |
Ω |
0.29868210009352 |
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 |
61200hk1 2550x1 7650cj1 |
Quadratic twists by: -4 -3 5 |