Atkin-Lehner |
2+ 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
79768h |
Isogeny class |
Conductor |
79768 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
883584 |
Modular degree for the optimal curve |
Δ |
-75600409226061824 = -1 · 211 · 139 · 592 |
Discriminant |
Eigenvalues |
2+ -3 -1 -3 0 13- -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,90077,8168446] |
[a1,a2,a3,a4,a6] |
Generators |
[338:8788:1] |
Generators of the group modulo torsion |
j |
3721734/3481 |
j-invariant |
L |
2.2503307245949 |
L(r)(E,1)/r! |
Ω |
0.22551935481111 |
Real period |
R |
2.4946093042066 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006368 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79768p1 |
Quadratic twists by: 13 |