Atkin-Lehner |
2- 3+ 19+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
33288h |
Isogeny class |
Conductor |
33288 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
242869248 = 210 · 32 · 192 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 -6 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-168,-324] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:16:1] [-3:12:1] |
Generators of the group modulo torsion |
j |
515150500/237177 |
j-invariant |
L |
7.3037784380746 |
L(r)(E,1)/r! |
Ω |
1.3849945373259 |
Real period |
R |
2.6367535182402 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66576i1 99864c1 |
Quadratic twists by: -4 -3 |