Atkin-Lehner |
2+ 3- 7- 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
84546ba |
Isogeny class |
Conductor |
84546 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
578990115396 = 22 · 38 · 72 · 112 · 612 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-84546,-9440928] |
[a1,a2,a3,a4,a6] |
Generators |
[339:708:1] |
Generators of the group modulo torsion |
j |
91680773579198497/794225124 |
j-invariant |
L |
5.7442374766594 |
L(r)(E,1)/r! |
Ω |
0.27997952558689 |
Real period |
R |
5.1291585215219 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999975571 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
28182v2 |
Quadratic twists by: -3 |