Atkin-Lehner |
3+ 7+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
8547a |
Isogeny class |
Conductor |
8547 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
17120681734916529 = 316 · 74 · 112 · 372 |
Discriminant |
Eigenvalues |
-1 3+ -2 7+ 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-890159,-323567764] |
[a1,a2,a3,a4,a6] |
Generators |
[-423729460:21146401:778688] |
Generators of the group modulo torsion |
j |
78005729753752541345137/17120681734916529 |
j-invariant |
L |
1.6865250960445 |
L(r)(E,1)/r! |
Ω |
0.15543126273975 |
Real period |
R |
10.850616962872 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
25641e4 59829m4 94017k4 |
Quadratic twists by: -3 -7 -11 |