Atkin-Lehner |
2- 3- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
33300w |
Isogeny class |
Conductor |
33300 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
17664 |
Modular degree for the optimal curve |
Δ |
-2589408000 = -1 · 28 · 37 · 53 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -6 -1 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-120,2500] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:18:1] [20:90:1] |
Generators of the group modulo torsion |
j |
-8192/111 |
j-invariant |
L |
7.6484228760669 |
L(r)(E,1)/r! |
Ω |
1.222481083013 |
Real period |
R |
0.26068647681433 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11100n1 33300ba1 |
Quadratic twists by: -3 5 |