Atkin-Lehner |
2+ 3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
58464l |
Isogeny class |
Conductor |
58464 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
28160 |
Modular degree for the optimal curve |
Δ |
-18411950592 = -1 · 29 · 311 · 7 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -3 1 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,501,4898] |
[a1,a2,a3,a4,a6] |
Generators |
[2:567:8] |
Generators of the group modulo torsion |
j |
37259704/49329 |
j-invariant |
L |
7.5068839244974 |
L(r)(E,1)/r! |
Ω |
0.82508070758139 |
Real period |
R |
2.2745907931909 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000108 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58464w1 116928cj1 19488e1 |
Quadratic twists by: -4 8 -3 |