Atkin-Lehner |
2- 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
62400fn |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-1063256064000 = -1 · 224 · 3 · 53 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 2 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2527,7617] |
[a1,a2,a3,a4,a6] |
Generators |
[7:160:1] |
Generators of the group modulo torsion |
j |
54439939/32448 |
j-invariant |
L |
5.3617818393389 |
L(r)(E,1)/r! |
Ω |
0.53376456212513 |
Real period |
R |
2.5113047117864 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998903 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62400dk1 15600cv1 62400id1 |
Quadratic twists by: -4 8 5 |