Atkin-Lehner |
2+ 5+ 31+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
66650c |
Isogeny class |
Conductor |
66650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
2132800 = 26 · 52 · 31 · 43 |
Discriminant |
Eigenvalues |
2+ -1 5+ 2 -2 -4 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-50,-140] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:49:8] [-4:6:1] |
Generators of the group modulo torsion |
j |
570420625/85312 |
j-invariant |
L |
6.5453114475908 |
L(r)(E,1)/r! |
Ω |
1.8086789439014 |
Real period |
R |
1.8094177160845 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999733 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66650q1 |
Quadratic twists by: 5 |