Atkin-Lehner |
2+ 3+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
31008c |
Isogeny class |
Conductor |
31008 |
Conductor |
∏ cp |
4 |
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] |
Generators |
[17:84:1] [37:234:1] |
Generators of the group modulo torsion |
j |
753571000/444771 |
j-invariant |
L |
6.5566817893972 |
L(r)(E,1)/r! |
Ω |
1.0356904957614 |
Real period |
R |
6.3307347284066 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31008j2 62016cx2 93024x2 |
Quadratic twists by: -4 8 -3 |