Atkin-Lehner |
2+ 3- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
62496j |
Isogeny class |
Conductor |
62496 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-3472652736 = -1 · 26 · 36 · 74 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 2 4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-201,3040] |
[a1,a2,a3,a4,a6] |
j |
-19248832/74431 |
j-invariant |
L |
2.4587395097661 |
L(r)(E,1)/r! |
Ω |
1.2293697533365 |
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 |
62496u1 124992en1 6944g1 |
Quadratic twists by: -4 8 -3 |