Atkin-Lehner |
2- 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
91200fi |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
-1121931000000 = -1 · 26 · 310 · 56 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 -3 -6 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1967,37687] |
[a1,a2,a3,a4,a6] |
j |
841232384/1121931 |
j-invariant |
L |
1.1722216301879 |
L(r)(E,1)/r! |
Ω |
0.58611079877363 |
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 |
91200dx1 22800di1 3648be1 |
Quadratic twists by: -4 8 5 |