Atkin-Lehner |
2- 7- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
33418bh |
Isogeny class |
Conductor |
33418 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
1152000 |
Modular degree for the optimal curve |
Δ |
-243038703222554624 = -1 · 215 · 711 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 1 -1 7- 11- 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-12234811,-16472948591] |
[a1,a2,a3,a4,a6] |
j |
-1721580238553093926561/2065794891776 |
j-invariant |
L |
4.8434124901061 |
L(r)(E,1)/r! |
Ω |
0.040361770750854 |
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 |
4774j1 |
Quadratic twists by: -7 |