Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
11760m |
Isogeny class |
Conductor |
11760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
50206343685120 = 210 · 35 · 5 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 2 6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-138000,-19682928] |
[a1,a2,a3,a4,a6] |
Generators |
[76944:4069988:27] |
Generators of the group modulo torsion |
j |
7033666972/1215 |
j-invariant |
L |
4.5503095181228 |
L(r)(E,1)/r! |
Ω |
0.24770457194043 |
Real period |
R |
9.1849526281999 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5880n1 47040gc1 35280bk1 58800dc1 |
Quadratic twists by: -4 8 -3 5 |