Atkin-Lehner |
2- 3- 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
118080ft |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
239616 |
Modular degree for the optimal curve |
Δ |
-367276032000 = -1 · 215 · 37 · 53 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- -5 -6 4 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1428,20464] |
[a1,a2,a3,a4,a6] |
Generators |
[38:360:1] [-10:72:1] |
Generators of the group modulo torsion |
j |
13481272/15375 |
j-invariant |
L |
10.58255681518 |
L(r)(E,1)/r! |
Ω |
0.63588978759391 |
Real period |
R |
0.34671092062966 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999988166 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118080fs1 59040bm1 39360cu1 |
Quadratic twists by: -4 8 -3 |