Atkin-Lehner |
3- 5- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
19215x |
Isogeny class |
Conductor |
19215 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
Δ |
804350408203125 = 39 · 59 · 73 · 61 |
Discriminant |
Eigenvalues |
0 3- 5- 7- -3 5 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-6383330652,196299469230210] |
[a1,a2,a3,a4,a6] |
Generators |
[365410:1341707:8] |
Generators of the group modulo torsion |
j |
39458285178943756883592704425984/1103361328125 |
j-invariant |
L |
4.5211308227772 |
L(r)(E,1)/r! |
Ω |
0.121030904401 |
Real period |
R |
6.225862787075 |
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 |
6405k3 96075u3 |
Quadratic twists by: -3 5 |