Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
91728ey |
Isogeny class |
Conductor |
91728 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
-10965065460830208 = -1 · 212 · 36 · 710 · 13 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -3 13- 7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-756315,-253214262] |
[a1,a2,a3,a4,a6] |
Generators |
[371987917371:14054893932078:196122941] |
Generators of the group modulo torsion |
j |
-56723625/13 |
j-invariant |
L |
6.0612867444079 |
L(r)(E,1)/r! |
Ω |
0.080944605258062 |
Real period |
R |
18.720477804184 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5733k1 10192bd1 91728df1 |
Quadratic twists by: -4 -3 -7 |