Atkin-Lehner |
2- 7+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
127204a |
Isogeny class |
Conductor |
127204 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
87840 |
Modular degree for the optimal curve |
Δ |
-33184470704 = -1 · 24 · 74 · 114 · 59 |
Discriminant |
Eigenvalues |
2- -1 3 7+ 11+ 6 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,131,8702] |
[a1,a2,a3,a4,a6] |
Generators |
[89:847:1] |
Generators of the group modulo torsion |
j |
6422528/863819 |
j-invariant |
L |
7.7250066328456 |
L(r)(E,1)/r! |
Ω |
0.89724912186022 |
Real period |
R |
0.4783142465124 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999941785 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127204c1 |
Quadratic twists by: -7 |