Atkin-Lehner |
2- 3- 5- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
59220bd |
Isogeny class |
Conductor |
59220 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2488320 |
Modular degree for the optimal curve |
Δ |
5965421288400 = 24 · 39 · 52 · 73 · 472 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 6 4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-61372632,185059010869] |
[a1,a2,a3,a4,a6] |
j |
2191797600244894014767104/511438725 |
j-invariant |
L |
3.7079824517856 |
L(r)(E,1)/r! |
Ω |
0.30899853772635 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19740r1 |
Quadratic twists by: -3 |