Atkin-Lehner |
2- 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
55440ca |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-63471756902400 = -1 · 217 · 33 · 52 · 72 · 114 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3957,-371142] |
[a1,a2,a3,a4,a6] |
Generators |
[69:480:1] |
Generators of the group modulo torsion |
j |
61958108493/573927200 |
j-invariant |
L |
6.0357645767587 |
L(r)(E,1)/r! |
Ω |
0.30722950360073 |
Real period |
R |
1.2278615224934 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000035 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6930s2 55440co2 |
Quadratic twists by: -4 -3 |