Atkin-Lehner |
2- 3+ 37- 47- |
Signs for the Atkin-Lehner involutions |
Class |
62604b |
Isogeny class |
Conductor |
62604 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-1303808737876272 = -1 · 24 · 39 · 374 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 0 2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,7560,-1718739] |
[a1,a2,a3,a4,a6] |
j |
151732224000/4140021649 |
j-invariant |
L |
3.735476586001 |
L(r)(E,1)/r! |
Ω |
0.23346728662542 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62604a1 |
Quadratic twists by: -3 |