Atkin-Lehner |
2+ 5- 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
124270k |
Isogeny class |
Conductor |
124270 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
2483712 |
Modular degree for the optimal curve |
Δ |
-771901163281250000 = -1 · 24 · 511 · 172 · 434 |
Discriminant |
Eigenvalues |
2+ 1 5- 1 6 2 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-587603,-178497602] |
[a1,a2,a3,a4,a6] |
j |
-77638443518799850249/2670938281250000 |
j-invariant |
L |
3.7859388133855 |
L(r)(E,1)/r! |
Ω |
0.08604410268815 |
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 |
124270f1 |
Quadratic twists by: 17 |