Atkin-Lehner |
2- 3+ 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
114192bg |
Isogeny class |
Conductor |
114192 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
12042231552 = 28 · 33 · 134 · 61 |
Discriminant |
Eigenvalues |
2- 3+ -4 0 2 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-807,-7070] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:6:1] [42:182:1] |
Generators of the group modulo torsion |
j |
8408927088/1742221 |
j-invariant |
L |
9.5562518444447 |
L(r)(E,1)/r! |
Ω |
0.90880744390676 |
Real period |
R |
5.2575778883462 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000782 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28548b2 114192bf2 |
Quadratic twists by: -4 -3 |