Atkin-Lehner |
2+ 3- 5+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
33390k |
Isogeny class |
Conductor |
33390 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-736081214400 = -1 · 26 · 311 · 52 · 72 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 -6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1575,-33939] |
[a1,a2,a3,a4,a6] |
Generators |
[174:723:8] [25:131:1] |
Generators of the group modulo torsion |
j |
592492345199/1009713600 |
j-invariant |
L |
5.7661567772893 |
L(r)(E,1)/r! |
Ω |
0.47355607408248 |
Real period |
R |
1.5220364316044 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11130bd1 |
Quadratic twists by: -3 |