Atkin-Lehner |
2+ 3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
58464n |
Isogeny class |
Conductor |
58464 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
26624 |
Modular degree for the optimal curve |
Δ |
66298176 = 26 · 36 · 72 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -6 2 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-369,2700] |
[a1,a2,a3,a4,a6] |
Generators |
[13:10:1] |
Generators of the group modulo torsion |
j |
119095488/1421 |
j-invariant |
L |
7.4597548762605 |
L(r)(E,1)/r! |
Ω |
1.9651949825052 |
Real period |
R |
1.8979681258931 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000457 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58464x1 116928cm2 6496k1 |
Quadratic twists by: -4 8 -3 |