Atkin-Lehner |
2- 3+ 5- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
72540h |
Isogeny class |
Conductor |
72540 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
426624 |
Modular degree for the optimal curve |
Δ |
136012500000000 = 28 · 33 · 511 · 13 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 6 13+ 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-160632,-24773356] |
[a1,a2,a3,a4,a6] |
j |
66315673215295488/19677734375 |
j-invariant |
L |
5.2465274656409 |
L(r)(E,1)/r! |
Ω |
0.23847852203268 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72540a1 |
Quadratic twists by: -3 |