Atkin-Lehner |
2- 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
69776h |
Isogeny class |
Conductor |
69776 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-4918766131478528 = -1 · 226 · 77 · 89 |
Discriminant |
Eigenvalues |
2- 0 0 7- 4 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23275,3640602] |
[a1,a2,a3,a4,a6] |
Generators |
[679:17346:1] |
Generators of the group modulo torsion |
j |
-2893640625/10207232 |
j-invariant |
L |
6.0467703635189 |
L(r)(E,1)/r! |
Ω |
0.37861575665293 |
Real period |
R |
3.9926827251746 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987606 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8722m1 9968l1 |
Quadratic twists by: -4 -7 |