Atkin-Lehner |
2- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
123704f |
Isogeny class |
Conductor |
123704 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
74496 |
Modular degree for the optimal curve |
Δ |
-546524272 = -1 · 24 · 7 · 474 |
Discriminant |
Eigenvalues |
2- 2 4 7+ -3 0 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-736,-7527] |
[a1,a2,a3,a4,a6] |
Generators |
[194078517:288906765:5929741] |
Generators of the group modulo torsion |
j |
-565504/7 |
j-invariant |
L |
13.069023175351 |
L(r)(E,1)/r! |
Ω |
0.45791080465166 |
Real period |
R |
14.270271648443 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002225 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123704g1 |
Quadratic twists by: -47 |