Atkin-Lehner |
2- 3+ 7+ 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
32214s |
Isogeny class |
Conductor |
32214 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-59544711954 = -1 · 2 · 33 · 7 · 13 · 594 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ -3 13+ -5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,966,-1671] |
[a1,a2,a3,a4,a6] |
Generators |
[468:4631:64] |
Generators of the group modulo torsion |
j |
99684352512863/59544711954 |
j-invariant |
L |
8.4361085435754 |
L(r)(E,1)/r! |
Ω |
0.64811581141215 |
Real period |
R |
3.2540899307773 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96642m1 |
Quadratic twists by: -3 |