Atkin-Lehner |
2- 3- 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
118080fx |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
1586632458240000 = 220 · 310 · 54 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 0 4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-30252,-654896] |
[a1,a2,a3,a4,a6] |
Generators |
[-67:1035:1] |
Generators of the group modulo torsion |
j |
16022066761/8302500 |
j-invariant |
L |
8.9580693138636 |
L(r)(E,1)/r! |
Ω |
0.38305115825188 |
Real period |
R |
2.9232613853134 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000042113 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118080cv1 29520bo1 39360ci1 |
Quadratic twists by: -4 8 -3 |