Atkin-Lehner |
2- 3+ 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
117312ch |
Isogeny class |
Conductor |
117312 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-1968168763392 = -1 · 230 · 3 · 13 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 4 -3 -3 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2879,-32927] |
[a1,a2,a3,a4,a6] |
Generators |
[2247:106520:1] |
Generators of the group modulo torsion |
j |
10063705679/7507968 |
j-invariant |
L |
6.5369204149867 |
L(r)(E,1)/r! |
Ω |
0.46459402776743 |
Real period |
R |
7.0350887881291 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999134607 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117312bn1 29328r1 |
Quadratic twists by: -4 8 |