Atkin-Lehner |
2+ 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
9408bd |
Isogeny class |
Conductor |
9408 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4371708837888 = 216 · 34 · 77 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-29857,-1993153] |
[a1,a2,a3,a4,a6] |
Generators |
[-101:48:1] |
Generators of the group modulo torsion |
j |
381775972/567 |
j-invariant |
L |
5.815885883097 |
L(r)(E,1)/r! |
Ω |
0.36322483642002 |
Real period |
R |
2.0014758422149 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9408ca3 1176c3 28224cd4 1344b3 |
Quadratic twists by: -4 8 -3 -7 |