Atkin-Lehner |
7- 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
69797b |
Isogeny class |
Conductor |
69797 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
-74920662573211 = -1 · 73 · 137 · 592 |
Discriminant |
Eigenvalues |
0 0 1 7- 6 13+ 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-11492,631088] |
[a1,a2,a3,a4,a6] |
Generators |
[26:-592:1] |
Generators of the group modulo torsion |
j |
-34773663744/15521779 |
j-invariant |
L |
6.0184314662528 |
L(r)(E,1)/r! |
Ω |
0.57318073405427 |
Real period |
R |
0.87500490799747 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001076 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5369a1 |
Quadratic twists by: 13 |