Atkin-Lehner |
2- 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
23360r |
Isogeny class |
Conductor |
23360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2182758400000000 = -1 · 220 · 58 · 732 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 -6 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-59468,-6017392] |
[a1,a2,a3,a4,a6] |
Generators |
[20425504:-2529967500:1331] |
Generators of the group modulo torsion |
j |
-88722503613801/8326562500 |
j-invariant |
L |
3.2026703018023 |
L(r)(E,1)/r! |
Ω |
0.15205011889581 |
Real period |
R |
10.531627088029 |
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 |
23360e2 5840k2 116800bm2 |
Quadratic twists by: -4 8 5 |