Atkin-Lehner |
2+ 3+ 5- 13+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
40170d |
Isogeny class |
Conductor |
40170 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1456000 |
Modular degree for the optimal curve |
Δ |
-1387619023050000 = -1 · 24 · 313 · 55 · 132 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 -6 13+ -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-9928412,-12045283296] |
[a1,a2,a3,a4,a6] |
j |
-108233861425942841913011401/1387619023050000 |
j-invariant |
L |
0.85051034598911 |
L(r)(E,1)/r! |
Ω |
0.042525517300611 |
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 |
120510y1 |
Quadratic twists by: -3 |