Atkin-Lehner |
2- 3- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
111630v |
Isogeny class |
Conductor |
111630 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-2009340 = -1 · 22 · 33 · 5 · 612 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 -4 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,14,-64] |
[a1,a2,a3,a4,a6] |
Generators |
[8:20:1] |
Generators of the group modulo torsion |
j |
81191/540 |
j-invariant |
L |
10.334626763466 |
L(r)(E,1)/r! |
Ω |
1.3070083426308 |
Real period |
R |
1.3178475868472 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020819 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111630g1 |
Quadratic twists by: 61 |