Atkin-Lehner |
3+ 5+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
67725d |
Isogeny class |
Conductor |
67725 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
405000791015625 = 39 · 510 · 72 · 43 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7+ 6 6 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-24005,1060372] |
[a1,a2,a3,a4,a6] |
Generators |
[-76:1600:1] |
Generators of the group modulo torsion |
j |
4973940243/1316875 |
j-invariant |
L |
4.2017997319921 |
L(r)(E,1)/r! |
Ω |
0.49763039910099 |
Real period |
R |
2.1109038651299 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001234 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67725b1 13545b1 |
Quadratic twists by: -3 5 |