Atkin-Lehner |
3- 7- 29- 37- |
Signs for the Atkin-Lehner involutions |
Class |
67599i |
Isogeny class |
Conductor |
67599 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
-158472629688051 = -1 · 312 · 7 · 292 · 373 |
Discriminant |
Eigenvalues |
2 3- 1 7- 1 1 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1767,606343] |
[a1,a2,a3,a4,a6] |
Generators |
[-94:6323:8] |
Generators of the group modulo torsion |
j |
-836962177024/217383579819 |
j-invariant |
L |
15.693407601555 |
L(r)(E,1)/r! |
Ω |
0.46887661904045 |
Real period |
R |
2.7891857125441 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000173 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22533b1 |
Quadratic twists by: -3 |