Atkin-Lehner |
3+ 7+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
8547a |
Isogeny class |
Conductor |
8547 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
22528 |
Modular degree for the optimal curve |
Δ |
-166390293686463 = -1 · 34 · 7 · 118 · 372 |
Discriminant |
Eigenvalues |
-1 3+ -2 7+ 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,11291,-409918] |
[a1,a2,a3,a4,a6] |
Generators |
[308:5538:1] |
Generators of the group modulo torsion |
j |
159191007134678063/166390293686463 |
j-invariant |
L |
1.6865250960445 |
L(r)(E,1)/r! |
Ω |
0.3108625254795 |
Real period |
R |
2.712654240718 |
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 |
25641e1 59829m1 94017k1 |
Quadratic twists by: -3 -7 -11 |