Atkin-Lehner |
2- 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
62400id |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-16613376000000000 = -1 · 224 · 3 · 59 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 2 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,63167,1078463] |
[a1,a2,a3,a4,a6] |
Generators |
[12986:529659:8] |
Generators of the group modulo torsion |
j |
54439939/32448 |
j-invariant |
L |
7.2298293530387 |
L(r)(E,1)/r! |
Ω |
0.23870676897844 |
Real period |
R |
7.5718729971387 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999868 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62400bv1 15600bs1 62400fn1 |
Quadratic twists by: -4 8 5 |