Atkin-Lehner |
2- 3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
81900a |
Isogeny class |
Conductor |
81900 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-68473518750000 = -1 · 24 · 33 · 58 · 74 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 2 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15300,830125] |
[a1,a2,a3,a4,a6] |
j |
-58680557568/10144225 |
j-invariant |
L |
2.3767902898004 |
L(r)(E,1)/r! |
Ω |
0.59419756575483 |
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 |
81900b1 16380b1 |
Quadratic twists by: -3 5 |