Atkin-Lehner |
2- 3- 5+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
24720s |
Isogeny class |
Conductor |
24720 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
48000 |
Modular degree for the optimal curve |
Δ |
6635724472320 = 232 · 3 · 5 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5976,-129516] |
[a1,a2,a3,a4,a6] |
j |
5763259856089/1620049920 |
j-invariant |
L |
0.5545495215121 |
L(r)(E,1)/r! |
Ω |
0.55454952151206 |
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 |
3090a1 98880bm1 74160bu1 123600t1 |
Quadratic twists by: -4 8 -3 5 |