Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
11760bh |
Isogeny class |
Conductor |
11760 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
222356610000 = 24 · 33 · 54 · 77 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3495,-77400] |
[a1,a2,a3,a4,a6] |
j |
2508888064/118125 |
j-invariant |
L |
3.7363178405768 |
L(r)(E,1)/r! |
Ω |
0.62271964009613 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5880z1 47040ep1 35280bs1 58800be1 |
Quadratic twists by: -4 8 -3 5 |