Atkin-Lehner |
2+ 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
18200i |
Isogeny class |
Conductor |
18200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
28160 |
Modular degree for the optimal curve |
Δ |
318500000000 = 28 · 59 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ 2 5- 7+ -6 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1708,-588] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:72:1] |
Generators of the group modulo torsion |
j |
1102736/637 |
j-invariant |
L |
6.5622822520683 |
L(r)(E,1)/r! |
Ω |
0.81121494080183 |
Real period |
R |
4.0447247221445 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36400ba1 18200ba1 127400v1 |
Quadratic twists by: -4 5 -7 |