Atkin-Lehner |
2- 3+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
93600dh |
Isogeny class |
Conductor |
93600 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-22140698112000 = -1 · 212 · 39 · 53 · 133 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 -3 13- -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-65880,6512400] |
[a1,a2,a3,a4,a6] |
Generators |
[144:-108:1] [160:260:1] |
Generators of the group modulo torsion |
j |
-3137785344/2197 |
j-invariant |
L |
10.031104999202 |
L(r)(E,1)/r! |
Ω |
0.67213755259914 |
Real period |
R |
0.62184103045347 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996496 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93600de1 93600q1 93600j1 |
Quadratic twists by: -4 -3 5 |