Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
62400dk |
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 |
[93:1020:1] |
Generators of the group modulo torsion |
j |
54439939/32448 |
j-invariant |
L |
6.7600668996161 |
L(r)(E,1)/r! |
Ω |
0.51013749827701 |
Real period |
R |
3.3128651207988 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000299 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62400fn1 1950e1 62400bv1 |
Quadratic twists by: -4 8 5 |