Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
48960ea |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
5076172800 = 214 · 36 · 52 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5148,142128] |
[a1,a2,a3,a4,a6] |
Generators |
[24:180:1] |
Generators of the group modulo torsion |
j |
1263257424/425 |
j-invariant |
L |
5.2495762867658 |
L(r)(E,1)/r! |
Ω |
1.3370256124509 |
Real period |
R |
0.98157736057323 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48960be1 12240r1 5440v1 |
Quadratic twists by: -4 8 -3 |