Atkin-Lehner |
2+ 3+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
9408p |
Isogeny class |
Conductor |
9408 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1943346986288676864 = 220 · 38 · 710 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 4 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-326209,-25271231] |
[a1,a2,a3,a4,a6] |
j |
124475734657/63011844 |
j-invariant |
L |
1.6858697718184 |
L(r)(E,1)/r! |
Ω |
0.2107337214773 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9408db3 294c4 28224cb3 1344g3 |
Quadratic twists by: -4 8 -3 -7 |