Atkin-Lehner |
2+ 7- 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
8554h |
Isogeny class |
Conductor |
8554 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-37586276 = -1 · 22 · 7 · 134 · 47 |
Discriminant |
Eigenvalues |
2+ -3 -3 7- -3 13- 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,44,-284] |
[a1,a2,a3,a4,a6] |
Generators |
[6:10:1] |
Generators of the group modulo torsion |
j |
9300746727/37586276 |
j-invariant |
L |
1.2158683091773 |
L(r)(E,1)/r! |
Ω |
1.0400992094259 |
Real period |
R |
0.14612407861655 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68432l1 76986bs1 59878n1 111202u1 |
Quadratic twists by: -4 -3 -7 13 |