Atkin-Lehner |
2+ 3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
33120n |
Isogeny class |
Conductor |
33120 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
22528 |
Modular degree for the optimal curve |
Δ |
15425640000 = 26 · 36 · 54 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1737,27216] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:180:1] |
Generators of the group modulo torsion |
j |
12422690496/330625 |
j-invariant |
L |
5.3488701102647 |
L(r)(E,1)/r! |
Ω |
1.2394793014562 |
Real period |
R |
1.078854262427 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
33120r1 66240eh2 3680g1 |
Quadratic twists by: -4 8 -3 |