Atkin-Lehner |
2+ 3- 5- 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
39270br |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-94579752960 = -1 · 215 · 32 · 5 · 73 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- -1 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2598373,-1612347184] |
[a1,a2,a3,a4,a6] |
j |
-1940117156679256175040841/94579752960 |
j-invariant |
L |
3.2106130392374 |
L(r)(E,1)/r! |
Ω |
0.059455797023589 |
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 |
117810dn2 |
Quadratic twists by: -3 |