Atkin-Lehner |
7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
91b |
Isogeny class |
Conductor |
91 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
-753571 = -1 · 73 · 133 |
Discriminant |
Eigenvalues |
0 -2 -3 7- 0 13- -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,13,42] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:3:1] |
Generators of the group modulo torsion |
j |
224755712/753571 |
j-invariant |
L |
0.71081130382563 |
L(r)(E,1)/r! |
Ω |
2.0131638454948 |
Real period |
R |
0.35308169546972 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
1456h2 5824j2 819e2 2275a2 |
Quadratic twists by: -4 8 -3 5 |