Atkin-Lehner |
2- 3- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
73200ch |
Isogeny class |
Conductor |
73200 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
44469000000000000 = 212 · 36 · 512 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 2 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-102008,-7404012] |
[a1,a2,a3,a4,a6] |
Generators |
[-122:1800:1] |
Generators of the group modulo torsion |
j |
1834216913521/694828125 |
j-invariant |
L |
8.3345555316616 |
L(r)(E,1)/r! |
Ω |
0.27577345469274 |
Real period |
R |
1.2592696695358 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999853 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4575a2 14640x2 |
Quadratic twists by: -4 5 |