Atkin-Lehner |
2- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
46550cm |
Isogeny class |
Conductor |
46550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
36081467475566800 = 24 · 52 · 715 · 19 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 3 3 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-121423,-13529979] |
[a1,a2,a3,a4,a6] |
j |
67312940590345/12267496528 |
j-invariant |
L |
4.1434433233093 |
L(r)(E,1)/r! |
Ω |
0.25896520771192 |
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 |
46550bl1 6650s1 |
Quadratic twists by: 5 -7 |