Atkin-Lehner |
2+ 3- 47- |
Signs for the Atkin-Lehner involutions |
Class |
846b |
Isogeny class |
Conductor |
846 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
64 |
Modular degree for the optimal curve |
Δ |
-137052 = -1 · 22 · 36 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 -2 -4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3,17] |
[a1,a2,a3,a4,a6] |
Generators |
[1:4:1] |
Generators of the group modulo torsion |
j |
3375/188 |
j-invariant |
L |
1.7694946429104 |
L(r)(E,1)/r! |
Ω |
2.4931128809848 |
Real period |
R |
0.35487655942225 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6768l1 27072w1 94a1 21150bw1 |
Quadratic twists by: -4 8 -3 5 |