Atkin-Lehner |
2+ 3- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
66654o |
Isogeny class |
Conductor |
66654 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-5960467296 = -1 · 25 · 37 · 7 · 233 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ 2 -1 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-306,-4172] |
[a1,a2,a3,a4,a6] |
Generators |
[29:89:1] |
Generators of the group modulo torsion |
j |
-357911/672 |
j-invariant |
L |
3.3002845854758 |
L(r)(E,1)/r! |
Ω |
0.53746066705838 |
Real period |
R |
0.76756421174534 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982954 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22218v1 66654y1 |
Quadratic twists by: -3 -23 |