Atkin-Lehner |
2+ 3- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
31008j |
Isogeny class |
Conductor |
31008 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-227722752 = -1 · 29 · 34 · 172 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 2 -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,152,152] |
[a1,a2,a3,a4,a6] |
j |
753571000/444771 |
j-invariant |
L |
4.298944164453 |
L(r)(E,1)/r! |
Ω |
1.0747360411132 |
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 |
31008c2 62016cg2 93024bc2 |
Quadratic twists by: -4 8 -3 |