Atkin-Lehner |
2+ 23- 47- |
Signs for the Atkin-Lehner involutions |
Class |
101614c |
Isogeny class |
Conductor |
101614 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
189696 |
Modular degree for the optimal curve |
Δ |
-5064038555648 = -1 · 213 · 234 · 472 |
Discriminant |
Eigenvalues |
2+ -1 -2 2 -4 4 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5521,-193771] |
[a1,a2,a3,a4,a6] |
Generators |
[155:1567:1] |
Generators of the group modulo torsion |
j |
-8427604409593/2292457472 |
j-invariant |
L |
3.2189674320283 |
L(r)(E,1)/r! |
Ω |
0.27305123260087 |
Real period |
R |
2.9472192918387 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999970493 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101614b1 |
Quadratic twists by: -47 |