Atkin-Lehner |
3+ 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
122247d |
Isogeny class |
Conductor |
122247 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
571392 |
Modular degree for the optimal curve |
Δ |
8852236192629 = 33 · 178 · 47 |
Discriminant |
Eigenvalues |
-2 3+ 1 5 3 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-18207,934698] |
[a1,a2,a3,a4,a6] |
j |
1024192512/13583 |
j-invariant |
L |
2.9382357998105 |
L(r)(E,1)/r! |
Ω |
0.73455854571865 |
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 |
122247a1 7191a1 |
Quadratic twists by: -3 17 |