Atkin-Lehner |
2+ 3- 7- 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
84546ba |
Isogeny class |
Conductor |
84546 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
20544678 = 2 · 37 · 7 · 11 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1352736,-605236590] |
[a1,a2,a3,a4,a6] |
Generators |
[84885:-24771270:1] |
Generators of the group modulo torsion |
j |
375522106309680185857/28182 |
j-invariant |
L |
5.7442374766594 |
L(r)(E,1)/r! |
Ω |
0.13998976279345 |
Real period |
R |
10.258317043044 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999990228 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28182v4 |
Quadratic twists by: -3 |