Atkin-Lehner |
2+ 3- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
124608bm |
Isogeny class |
Conductor |
124608 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-277909733376 = -1 · 217 · 33 · 113 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 1 -2 11- -4 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1366145,-615056673] |
[a1,a2,a3,a4,a6] |
Generators |
[12397:1373988:1] |
Generators of the group modulo torsion |
j |
-2151317423848597058/2120283 |
j-invariant |
L |
8.1115281246485 |
L(r)(E,1)/r! |
Ω |
0.069822490120555 |
Real period |
R |
6.4540873109751 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000085691 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124608cb1 15576e1 |
Quadratic twists by: -4 8 |