Atkin-Lehner |
2- 3- 5- 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
24510u |
Isogeny class |
Conductor |
24510 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
28672 |
Modular degree for the optimal curve |
Δ |
-130363395840 = -1 · 28 · 38 · 5 · 192 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1185,-7335] |
[a1,a2,a3,a4,a6] |
Generators |
[12:87:1] |
Generators of the group modulo torsion |
j |
184016114839439/130363395840 |
j-invariant |
L |
9.9359579876323 |
L(r)(E,1)/r! |
Ω |
0.58647319308325 |
Real period |
R |
2.1177348992279 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
73530i1 122550i1 |
Quadratic twists by: -3 5 |