Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
62400gf |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
709632 |
Modular degree for the optimal curve |
Δ |
-321826171875000000 = -1 · 26 · 3 · 517 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 3 13+ -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-587283,-175561437] |
[a1,a2,a3,a4,a6] |
Generators |
[1168531370624170558692073318:26586262440442414074029895975:1010812668841496017645091] |
Generators of the group modulo torsion |
j |
-22400965661211136/321826171875 |
j-invariant |
L |
7.3434109143662 |
L(r)(E,1)/r! |
Ω |
0.086156220289683 |
Real period |
R |
42.616835381563 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62400ea1 31200f1 12480bs1 |
Quadratic twists by: -4 8 5 |