Atkin-Lehner |
3- 5+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
19215o |
Isogeny class |
Conductor |
19215 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
Δ |
64649623860045 = 37 · 5 · 7 · 615 |
Discriminant |
Eigenvalues |
2 3- 5+ 7- 3 -1 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-6760893,6766346079] |
[a1,a2,a3,a4,a6] |
j |
46882241959765764468736/88682611605 |
j-invariant |
L |
4.0223459329788 |
L(r)(E,1)/r! |
Ω |
0.40223459329788 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6405m2 96075bb2 |
Quadratic twists by: -3 5 |