Atkin-Lehner |
2- 3- 5+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
61050bx |
Isogeny class |
Conductor |
61050 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
Δ |
536702760000000000 = 212 · 34 · 510 · 112 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-498438,-130820508] |
[a1,a2,a3,a4,a6] |
Generators |
[-438:2094:1] |
Generators of the group modulo torsion |
j |
876470240549871001/34348976640000 |
j-invariant |
L |
11.206573027856 |
L(r)(E,1)/r! |
Ω |
0.18011268033 |
Real period |
R |
1.2962456112572 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000177 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12210h2 |
Quadratic twists by: 5 |