Atkin-Lehner |
2+ 3- 7- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
76986q |
Isogeny class |
Conductor |
76986 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
35779463457778404 = 22 · 310 · 74 · 134 · 472 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-447588,115008700] |
[a1,a2,a3,a4,a6] |
Generators |
[-583:13616:1] [-100:12650:1] |
Generators of the group modulo torsion |
j |
13602916520466380353/49080196787076 |
j-invariant |
L |
7.4150616219878 |
L(r)(E,1)/r! |
Ω |
0.36815707872213 |
Real period |
R |
2.5176283611999 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997967 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
25662s2 |
Quadratic twists by: -3 |