Atkin-Lehner |
2+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
65824d |
Isogeny class |
Conductor |
65824 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-1356930691072 = -1 · 212 · 117 · 17 |
Discriminant |
Eigenvalues |
2+ 2 2 1 11- 6 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,323,55893] |
[a1,a2,a3,a4,a6] |
Generators |
[-123:6292:27] |
Generators of the group modulo torsion |
j |
512/187 |
j-invariant |
L |
12.041270052381 |
L(r)(E,1)/r! |
Ω |
0.66464166455328 |
Real period |
R |
2.2646169160039 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994644 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65824n1 5984d1 |
Quadratic twists by: -4 -11 |