Atkin-Lehner |
2- 5- 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
72080j |
Isogeny class |
Conductor |
72080 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-811801000000000000 = -1 · 212 · 512 · 172 · 532 |
Discriminant |
Eigenvalues |
2- -2 5- -2 -6 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,151160,-36929100] |
[a1,a2,a3,a4,a6] |
Generators |
[220:2650:1] |
Generators of the group modulo torsion |
j |
93254874253221239/198193603515625 |
j-invariant |
L |
3.2496989278745 |
L(r)(E,1)/r! |
Ω |
0.14691567489947 |
Real period |
R |
0.92164516874548 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000079 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4505b2 |
Quadratic twists by: -4 |