Atkin-Lehner |
2- 3+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
67518bb |
Isogeny class |
Conductor |
67518 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
21600 |
Modular degree for the optimal curve |
Δ |
-2965593114 = -1 · 2 · 33 · 116 · 31 |
Discriminant |
Eigenvalues |
2- 3+ -1 0 11- 1 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-23,-2615] |
[a1,a2,a3,a4,a6] |
Generators |
[14590:-6043:1000] |
Generators of the group modulo torsion |
j |
-27/62 |
j-invariant |
L |
9.3675290106401 |
L(r)(E,1)/r! |
Ω |
0.64609765685067 |
Real period |
R |
7.2493135607754 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998447 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67518a1 558a1 |
Quadratic twists by: -3 -11 |