Atkin-Lehner |
3- 7- 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
108339m |
Isogeny class |
Conductor |
108339 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
79200 |
Modular degree for the optimal curve |
Δ |
-260121939 = -1 · 3 · 76 · 11 · 67 |
Discriminant |
Eigenvalues |
2 3- 3 7- 11+ 3 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-604,5569] |
[a1,a2,a3,a4,a6] |
Generators |
[13540118:94571699:238328] |
Generators of the group modulo torsion |
j |
-207474688/2211 |
j-invariant |
L |
21.554185353862 |
L(r)(E,1)/r! |
Ω |
1.7547005883471 |
Real period |
R |
12.283682757634 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999962752 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2211c1 |
Quadratic twists by: -7 |