Atkin-Lehner |
2- 3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
81900t |
Isogeny class |
Conductor |
81900 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1267200 |
Modular degree for the optimal curve |
Δ |
-2911836384843750000 = -1 · 24 · 38 · 510 · 75 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 5 13- -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-440625,-139334375] |
[a1,a2,a3,a4,a6] |
j |
-83058400000/25563447 |
j-invariant |
L |
1.0945460887437 |
L(r)(E,1)/r! |
Ω |
0.091212179182787 |
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 |
27300p1 81900bl1 |
Quadratic twists by: -3 5 |