Atkin-Lehner |
3- 5+ 13- 73- |
Signs for the Atkin-Lehner involutions |
Class |
71175o |
Isogeny class |
Conductor |
71175 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-64210036921875 = -1 · 33 · 56 · 134 · 732 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 -2 13- -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2826,-390077] |
[a1,a2,a3,a4,a6] |
Generators |
[974:7801:8] [167:1866:1] |
Generators of the group modulo torsion |
j |
-159661140625/4109442363 |
j-invariant |
L |
13.160976528299 |
L(r)(E,1)/r! |
Ω |
0.26909267849774 |
Real period |
R |
4.0757260664057 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999336 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2847a2 |
Quadratic twists by: 5 |