Atkin-Lehner |
2- 3+ 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
53550db |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1536000 |
Modular degree for the optimal curve |
Δ |
61715304000000000 = 212 · 33 · 59 · 75 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -4 6 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2240180,1291047447] |
[a1,a2,a3,a4,a6] |
j |
23576453352214407/1170305024 |
j-invariant |
L |
3.9638542637353 |
L(r)(E,1)/r! |
Ω |
0.33032118879055 |
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 |
53550k1 53550s1 |
Quadratic twists by: -3 5 |