Atkin-Lehner |
2+ 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
97344bp |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-3025990820288397312 = -1 · 217 · 314 · 136 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 -4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,95316,82923568] |
[a1,a2,a3,a4,a6] |
j |
207646/6561 |
j-invariant |
L |
1.5269891391303 |
L(r)(E,1)/r! |
Ω |
0.19087364120554 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97344fb5 12168q6 32448bh5 576d6 |
Quadratic twists by: -4 8 -3 13 |