Atkin-Lehner |
7+ 17- 67- |
Signs for the Atkin-Lehner involutions |
Class |
55811b |
Isogeny class |
Conductor |
55811 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
19944 |
Modular degree for the optimal curve |
Δ |
-790339571 = -1 · 74 · 173 · 67 |
Discriminant |
Eigenvalues |
0 1 -3 7+ -3 -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,33,-1340] |
[a1,a2,a3,a4,a6] |
Generators |
[10:9:1] |
Generators of the group modulo torsion |
j |
1605632/329171 |
j-invariant |
L |
2.1931539118177 |
L(r)(E,1)/r! |
Ω |
0.75032793608511 |
Real period |
R |
2.922927171282 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000285 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
55811g1 |
Quadratic twists by: -7 |