Atkin-Lehner |
2- 5+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
69580k |
Isogeny class |
Conductor |
69580 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-260380842095360 = -1 · 28 · 5 · 79 · 712 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- -3 -5 -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-23781,-1603055] |
[a1,a2,a3,a4,a6] |
Generators |
[376:6517:1] [720:18815:1] |
Generators of the group modulo torsion |
j |
-143982592/25205 |
j-invariant |
L |
7.4440240909718 |
L(r)(E,1)/r! |
Ω |
0.1904074459128 |
Real period |
R |
9.7738090746926 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999536 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69580q1 |
Quadratic twists by: -7 |