Atkin-Lehner |
2+ 3- 5+ 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
66330l |
Isogeny class |
Conductor |
66330 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
302400 |
Modular degree for the optimal curve |
Δ |
-2550855873650040 = -1 · 23 · 36 · 5 · 117 · 672 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 11- -4 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-22725,-2758995] |
[a1,a2,a3,a4,a6] |
Generators |
[1838:15295:8] |
Generators of the group modulo torsion |
j |
-1780404196683601/3499116424760 |
j-invariant |
L |
4.2725206357452 |
L(r)(E,1)/r! |
Ω |
0.18280200723751 |
Real period |
R |
1.6694567530541 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985536 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7370i1 |
Quadratic twists by: -3 |