Atkin-Lehner |
2+ 5+ 13- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
65650f |
Isogeny class |
Conductor |
65650 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-14201408000000 = -1 · 212 · 56 · 133 · 101 |
Discriminant |
Eigenvalues |
2+ -1 5+ 2 4 13- -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-62300,-6014000] |
[a1,a2,a3,a4,a6] |
j |
-1711507151858113/908890112 |
j-invariant |
L |
1.8130678330093 |
L(r)(E,1)/r! |
Ω |
0.15108898598002 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2626d1 |
Quadratic twists by: 5 |