Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
62400gm |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-243360000000000 = -1 · 214 · 32 · 510 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -2 13+ 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6033,-773937] |
[a1,a2,a3,a4,a6] |
Generators |
[123:600:1] |
Generators of the group modulo torsion |
j |
-94875856/950625 |
j-invariant |
L |
6.4179645214739 |
L(r)(E,1)/r! |
Ω |
0.23567482666732 |
Real period |
R |
1.7020179382306 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000373 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62400h2 15600bi2 12480bu2 |
Quadratic twists by: -4 8 5 |