Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
114660bb |
Isogeny class |
Conductor |
114660 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-73052151222960 = -1 · 24 · 38 · 5 · 77 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 13- 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-588,411257] |
[a1,a2,a3,a4,a6] |
Generators |
[14:-637:1] |
Generators of the group modulo torsion |
j |
-16384/53235 |
j-invariant |
L |
7.0619194573034 |
L(r)(E,1)/r! |
Ω |
0.4931210731415 |
Real period |
R |
0.59670263779573 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999645913 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38220p1 16380g1 |
Quadratic twists by: -3 -7 |