Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
62400gq |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-4792320000000000 = -1 · 222 · 32 · 510 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 -3 13+ 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14586000833,678030687590463] |
[a1,a2,a3,a4,a6] |
Generators |
[1838613:20061568:27] |
Generators of the group modulo torsion |
j |
-134057911417971280740025/1872 |
j-invariant |
L |
6.1352846427501 |
L(r)(E,1)/r! |
Ω |
0.099958772634111 |
Real period |
R |
7.6722688777218 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000102 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62400o2 15600bm2 62400fv1 |
Quadratic twists by: -4 8 5 |