Atkin-Lehner |
2+ 3+ 5+ 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39270a |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
22916114029642680 = 23 · 312 · 5 · 78 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 11+ -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-76358,-3625092] |
[a1,a2,a3,a4,a6] |
Generators |
[-67:1127:1] |
Generators of the group modulo torsion |
j |
49237527110356724329/22916114029642680 |
j-invariant |
L |
2.7650169446394 |
L(r)(E,1)/r! |
Ω |
0.30037984249934 |
Real period |
R |
2.301267057098 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117810ed3 |
Quadratic twists by: -3 |