Atkin-Lehner |
2- 3+ 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
33810cn |
Isogeny class |
Conductor |
33810 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-37341792600000 = -1 · 26 · 3 · 55 · 76 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 2 0 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,6565,213737] |
[a1,a2,a3,a4,a6] |
Generators |
[17:-584:1] |
Generators of the group modulo torsion |
j |
265971760991/317400000 |
j-invariant |
L |
7.9304380015903 |
L(r)(E,1)/r! |
Ω |
0.43414019858147 |
Real period |
R |
0.60889992276709 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101430y1 690i1 |
Quadratic twists by: -3 -7 |