Atkin-Lehner |
2- 5+ 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
33350i |
Isogeny class |
Conductor |
33350 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
74592 |
Modular degree for the optimal curve |
Δ |
-23324996403200 = -1 · 221 · 52 · 232 · 292 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 -5 -2 -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1783,233421] |
[a1,a2,a3,a4,a6] |
Generators |
[-69:218:1] [69:632:1] |
Generators of the group modulo torsion |
j |
-25075693703065/932999856128 |
j-invariant |
L |
9.6971907556585 |
L(r)(E,1)/r! |
Ω |
0.56229706403047 |
Real period |
R |
0.20530561953089 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33350e1 |
Quadratic twists by: 5 |