Atkin-Lehner |
2- 3- 5- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
86580k |
Isogeny class |
Conductor |
86580 |
Conductor |
∏ cp |
324 |
Product of Tamagawa factors cp |
Δ |
-5555595093750000 = -1 · 24 · 37 · 59 · 133 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -3 13- 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-133077,19026421] |
[a1,a2,a3,a4,a6] |
Generators |
[-373:4095:1] [-228:6125:1] |
Generators of the group modulo torsion |
j |
-22345249423431424/476302734375 |
j-invariant |
L |
10.350685473683 |
L(r)(E,1)/r! |
Ω |
0.42798726193251 |
Real period |
R |
0.67179345398815 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999992721 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
28860e2 |
Quadratic twists by: -3 |