Atkin-Lehner |
2+ 5- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
109120k |
Isogeny class |
Conductor |
109120 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
61456384000000 = 220 · 56 · 112 · 31 |
Discriminant |
Eigenvalues |
2+ 0 5- -4 11+ 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-40492,-3113424] |
[a1,a2,a3,a4,a6] |
Generators |
[342:4800:1] |
Generators of the group modulo torsion |
j |
28008604733409/234437500 |
j-invariant |
L |
6.2830644650171 |
L(r)(E,1)/r! |
Ω |
0.33672589840912 |
Real period |
R |
1.5549404095285 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999817978 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109120bn2 3410c2 |
Quadratic twists by: -4 8 |