Atkin-Lehner |
2- 3- 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
33840cn |
Isogeny class |
Conductor |
33840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
33681899520 = 216 · 37 · 5 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -4 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2307,-41726] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:22:1] [-25:18:1] |
Generators of the group modulo torsion |
j |
454756609/11280 |
j-invariant |
L |
8.2020196490095 |
L(r)(E,1)/r! |
Ω |
0.68991311021566 |
Real period |
R |
2.9721205205268 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4230n1 11280w1 |
Quadratic twists by: -4 -3 |