Atkin-Lehner |
2- 3- 5+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
61050bx |
Isogeny class |
Conductor |
61050 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
88855130925000000 = 26 · 38 · 58 · 114 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7898438,-8544620508] |
[a1,a2,a3,a4,a6] |
Generators |
[-1622:910:1] |
Generators of the group modulo torsion |
j |
3487605307056720495001/5686728379200 |
j-invariant |
L |
11.206573027856 |
L(r)(E,1)/r! |
Ω |
0.090056340165 |
Real period |
R |
2.5924912225144 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000177 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12210h3 |
Quadratic twists by: 5 |