Atkin-Lehner |
3+ 7+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
8547a |
Isogeny class |
Conductor |
8547 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
8821526735618289 = 38 · 72 · 114 · 374 |
Discriminant |
Eigenvalues |
-1 3+ -2 7+ 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-61914,-3865194] |
[a1,a2,a3,a4,a6] |
Generators |
[3272:185010:1] |
Generators of the group modulo torsion |
j |
26247668901100115617/8821526735618289 |
j-invariant |
L |
1.6865250960445 |
L(r)(E,1)/r! |
Ω |
0.3108625254795 |
Real period |
R |
5.4253084814359 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
25641e2 59829m2 94017k2 |
Quadratic twists by: -3 -7 -11 |