Atkin-Lehner |
2+ 3+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
44400a |
Isogeny class |
Conductor |
44400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
479520000000 = 211 · 34 · 57 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-197408,33825312] |
[a1,a2,a3,a4,a6] |
Generators |
[293:1026:1] |
Generators of the group modulo torsion |
j |
26587051663538/14985 |
j-invariant |
L |
5.2605286158315 |
L(r)(E,1)/r! |
Ω |
0.76769625292261 |
Real period |
R |
3.4261783848752 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22200q4 8880g4 |
Quadratic twists by: -4 5 |