Atkin-Lehner |
2- 3+ 7- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
107184ca |
Isogeny class |
Conductor |
107184 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
12676866048 = 213 · 32 · 72 · 112 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11- -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4872,-129168] |
[a1,a2,a3,a4,a6] |
Generators |
[93:462:1] |
Generators of the group modulo torsion |
j |
3123019823113/3094938 |
j-invariant |
L |
7.1817176713271 |
L(r)(E,1)/r! |
Ω |
0.57146698625966 |
Real period |
R |
3.1417902648781 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020619 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13398j2 |
Quadratic twists by: -4 |