Atkin-Lehner |
2- 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
62400fi |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3709440 |
Modular degree for the optimal curve |
Δ |
-2.4422043038515E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 4 13+ 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14384833,22309597537] |
[a1,a2,a3,a4,a6] |
Generators |
[1493331:70451200:343] |
Generators of the group modulo torsion |
j |
-3214683778008145/238496514048 |
j-invariant |
L |
5.7725530578563 |
L(r)(E,1)/r! |
Ω |
0.11747021527255 |
Real period |
R |
4.0950473023632 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998916 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62400dg1 15600cs1 62400gw1 |
Quadratic twists by: -4 8 5 |