Atkin-Lehner |
2+ 37+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
97088g |
Isogeny class |
Conductor |
97088 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
229904384 = 212 · 372 · 41 |
Discriminant |
Eigenvalues |
2+ -2 -2 -2 2 0 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-169,-489] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:20:1] [-5:16:1] |
Generators of the group modulo torsion |
j |
131096512/56129 |
j-invariant |
L |
6.650997383652 |
L(r)(E,1)/r! |
Ω |
1.3756120352573 |
Real period |
R |
2.4174684473217 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002513 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97088f2 48544b1 |
Quadratic twists by: -4 8 |