Atkin-Lehner |
2- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
97216ce |
Isogeny class |
Conductor |
97216 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-7.7161775396675E+19 |
Discriminant |
Eigenvalues |
2- -1 3 7- 0 -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10580929,-13250709919] |
[a1,a2,a3,a4,a6] |
j |
-4247828669470177/2501923634 |
j-invariant |
L |
1.5066965308715 |
L(r)(E,1)/r! |
Ω |
0.041852679103495 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97216h3 24304v3 13888m3 |
Quadratic twists by: -4 8 -7 |