Atkin-Lehner |
3- 5- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
19215w |
Isogeny class |
Conductor |
19215 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
Δ |
-886811220421875 = -1 · 36 · 56 · 73 · 613 |
Discriminant |
Eigenvalues |
0 3- 5- 7- 0 -4 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-43032,-3722625] |
[a1,a2,a3,a4,a6] |
Generators |
[713:18112:1] |
Generators of the group modulo torsion |
j |
-12088454429016064/1216476296875 |
j-invariant |
L |
4.3214109800216 |
L(r)(E,1)/r! |
Ω |
0.16479806825112 |
Real period |
R |
2.1852051149028 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
2135c2 96075t2 |
Quadratic twists by: -3 5 |