Atkin-Lehner |
2- 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
62400eg |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-62400000000 = -1 · 212 · 3 · 58 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 0 13+ -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,967,2937] |
[a1,a2,a3,a4,a6] |
Generators |
[7:100:1] [33:264:1] |
Generators of the group modulo torsion |
j |
1560896/975 |
j-invariant |
L |
8.3428544896438 |
L(r)(E,1)/r! |
Ω |
0.68554847412022 |
Real period |
R |
3.0424013780887 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62400gi1 31200ce1 12480cs1 |
Quadratic twists by: -4 8 5 |