Atkin-Lehner |
2- 3+ 5- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
24180b |
Isogeny class |
Conductor |
24180 |
Conductor |
∏ cp |
45 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
13240000800000 = 28 · 35 · 55 · 133 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 2 13- -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14885,-671775] |
[a1,a2,a3,a4,a6] |
Generators |
[-65:-130:1] |
Generators of the group modulo torsion |
j |
1424818154438656/51718753125 |
j-invariant |
L |
4.9359917434283 |
L(r)(E,1)/r! |
Ω |
0.43318986117503 |
Real period |
R |
0.25321161744642 |
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 |
96720dj1 72540t1 120900u1 |
Quadratic twists by: -4 -3 5 |