Atkin-Lehner |
5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
46475h |
Isogeny class |
Conductor |
46475 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1411200 |
Modular degree for the optimal curve |
Δ |
74146196845703125 = 510 · 112 · 137 |
Discriminant |
Eigenvalues |
-2 3 5+ -4 11- 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-105625,1716406] |
[a1,a2,a3,a4,a6] |
j |
2764800/1573 |
j-invariant |
L |
2.369999147589 |
L(r)(E,1)/r! |
Ω |
0.29624989348222 |
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 |
46475k1 3575e1 |
Quadratic twists by: 5 13 |