Atkin-Lehner |
2+ 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
34800bo |
Isogeny class |
Conductor |
34800 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-893883762000000000 = -1 · 210 · 312 · 59 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 2 -4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-878208,-320312412] |
[a1,a2,a3,a4,a6] |
Generators |
[2208:92250:1] |
Generators of the group modulo torsion |
j |
-37452979934132/446941881 |
j-invariant |
L |
5.5752621416757 |
L(r)(E,1)/r! |
Ω |
0.077922259322811 |
Real period |
R |
2.9812096216832 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17400bi2 104400co2 34800p2 |
Quadratic twists by: -4 -3 5 |