Atkin-Lehner |
2+ 7+ 17+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
116144b |
Isogeny class |
Conductor |
116144 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
7433216 = 210 · 7 · 17 · 61 |
Discriminant |
Eigenvalues |
2+ 0 3 7+ -2 -2 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-131,562] |
[a1,a2,a3,a4,a6] |
Generators |
[3:14:1] |
Generators of the group modulo torsion |
j |
242793828/7259 |
j-invariant |
L |
6.7345168772037 |
L(r)(E,1)/r! |
Ω |
2.3389585356728 |
Real period |
R |
1.4396400739068 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983395 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58072b1 |
Quadratic twists by: -4 |