Atkin-Lehner |
2- 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
62400gx |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-56160000000000 = -1 · 214 · 33 · 510 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,8367,-205137] |
[a1,a2,a3,a4,a6] |
j |
253012016/219375 |
j-invariant |
L |
4.1491385065389 |
L(r)(E,1)/r! |
Ω |
0.3457615420155 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62400y1 15600d1 12480ca1 |
Quadratic twists by: -4 8 5 |