Atkin-Lehner |
2- 3+ 5+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
24720m |
Isogeny class |
Conductor |
24720 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-56954880000 = -1 · 215 · 33 · 54 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 5 0 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-96,11520] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:50:1] |
Generators of the group modulo torsion |
j |
-24137569/13905000 |
j-invariant |
L |
5.0012963974645 |
L(r)(E,1)/r! |
Ω |
0.90280664141681 |
Real period |
R |
1.3849301079619 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3090j1 98880ce1 74160bw1 123600bw1 |
Quadratic twists by: -4 8 -3 5 |