Atkin-Lehner |
2- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
46550cg |
Isogeny class |
Conductor |
46550 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
5007141440000000 = 212 · 57 · 77 · 19 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-43105,-513103] |
[a1,a2,a3,a4,a6] |
j |
4818245769/2723840 |
j-invariant |
L |
4.2861425920401 |
L(r)(E,1)/r! |
Ω |
0.35717854936517 |
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 |
9310j1 6650r1 |
Quadratic twists by: 5 -7 |