Atkin-Lehner |
2- 3+ 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
66300f |
Isogeny class |
Conductor |
66300 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
684713250000 = 24 · 36 · 56 · 13 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 0 13+ 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-78833,8545662] |
[a1,a2,a3,a4,a6] |
Generators |
[-94:3888:1] |
Generators of the group modulo torsion |
j |
216727177216000/2738853 |
j-invariant |
L |
6.6888777690596 |
L(r)(E,1)/r! |
Ω |
0.82469637925044 |
Real period |
R |
4.0553577884113 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995871 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2652f1 |
Quadratic twists by: 5 |