Atkin-Lehner |
2+ 3- 5+ 31+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
114390f |
Isogeny class |
Conductor |
114390 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2621440 |
Modular degree for the optimal curve |
Δ |
-8058569720699289600 = -1 · 232 · 310 · 52 · 31 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,285975,123173325] |
[a1,a2,a3,a4,a6] |
j |
3547966704307455599/11054279452262400 |
j-invariant |
L |
0.65888729884965 |
L(r)(E,1)/r! |
Ω |
0.1647217072953 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38130bb1 |
Quadratic twists by: -3 |