Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
33600cv |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-7586611200 = -1 · 215 · 33 · 52 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -2 3 -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1153,15263] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:168:1] |
Generators of the group modulo torsion |
j |
-207108680/9261 |
j-invariant |
L |
7.2810252583918 |
L(r)(E,1)/r! |
Ω |
1.3066445765977 |
Real period |
R |
0.15478631698655 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33600e1 16800bg1 100800ey1 33600bm1 |
Quadratic twists by: -4 8 -3 5 |