Atkin-Lehner |
3- 5- 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
19215r |
Isogeny class |
Conductor |
19215 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4135713720075 = 318 · 52 · 7 · 61 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ -4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-512537,-141104626] |
[a1,a2,a3,a4,a6] |
Generators |
[-413:211:1] [1843:70993:1] |
Generators of the group modulo torsion |
j |
20425422893207394889/5673132675 |
j-invariant |
L |
4.9389874221697 |
L(r)(E,1)/r! |
Ω |
0.17843018364853 |
Real period |
R |
13.840111917103 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6405j3 96075bk4 |
Quadratic twists by: -3 5 |