Atkin-Lehner |
2- 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
107712ev |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-25875336835104768 = -1 · 223 · 36 · 114 · 172 |
Discriminant |
Eigenvalues |
2- 3- 0 2 11- 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,73620,-885168] |
[a1,a2,a3,a4,a6] |
Generators |
[144:3564:1] |
Generators of the group modulo torsion |
j |
230910510375/135399968 |
j-invariant |
L |
8.0723083921816 |
L(r)(E,1)/r! |
Ω |
0.22150844503121 |
Real period |
R |
2.2776525399918 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000040759 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107712bf2 26928bh2 11968l2 |
Quadratic twists by: -4 8 -3 |