Atkin-Lehner |
3- 5+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
19215j |
Isogeny class |
Conductor |
19215 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-5981302845 = -1 · 38 · 5 · 72 · 612 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ -4 4 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,0,3721] |
[a1,a2,a3,a4,a6] |
Generators |
[0:61:1] |
Generators of the group modulo torsion |
j |
-1/8204805 |
j-invariant |
L |
4.9043510032099 |
L(r)(E,1)/r! |
Ω |
1.0686884040979 |
Real period |
R |
1.1472827309635 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6405f2 96075bo2 |
Quadratic twists by: -3 5 |