Atkin-Lehner |
2- 3+ 7+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
79254u |
Isogeny class |
Conductor |
79254 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
1228800 |
Modular degree for the optimal curve |
Δ |
-744312582873022464 = -1 · 230 · 33 · 74 · 172 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 0 -4 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-551504,-162876877] |
[a1,a2,a3,a4,a6] |
Generators |
[997:16161:1] |
Generators of the group modulo torsion |
j |
-687076682062901237379/27567132699000832 |
j-invariant |
L |
10.646627778129 |
L(r)(E,1)/r! |
Ω |
0.087390161473774 |
Real period |
R |
2.0304779544437 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999683 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79254b1 |
Quadratic twists by: -3 |