Atkin-Lehner |
2+ 3+ 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
74562d |
Isogeny class |
Conductor |
74562 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
10053120 |
Modular degree for the optimal curve |
Δ |
-2.1379100592027E+23 |
Discriminant |
Eigenvalues |
2+ 3+ -1 -4 3 0 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-17808908,36484503504] |
[a1,a2,a3,a4,a6] |
j |
-5267388229577657/1802806595712 |
j-invariant |
L |
0.5651605629658 |
L(r)(E,1)/r! |
Ω |
0.09419342714919 |
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 |
74562l1 |
Quadratic twists by: 17 |