Atkin-Lehner |
3+ 5- 19- 79- |
Signs for the Atkin-Lehner involutions |
Class |
67545d |
Isogeny class |
Conductor |
67545 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
20992 |
Modular degree for the optimal curve |
Δ |
-481258125 = -1 · 33 · 54 · 192 · 79 |
Discriminant |
Eigenvalues |
-1 3+ 5- 1 -3 -1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-197,1546] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:44:1] [-4:-46:1] |
Generators of the group modulo torsion |
j |
-31166657523/17824375 |
j-invariant |
L |
7.2468928567187 |
L(r)(E,1)/r! |
Ω |
1.5397572858605 |
Real period |
R |
0.29415727251749 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999395 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67545b1 |
Quadratic twists by: -3 |