Atkin-Lehner |
2+ 3- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
30528p |
Isogeny class |
Conductor |
30528 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-2472768 = -1 · 26 · 36 · 53 |
Discriminant |
Eigenvalues |
2+ 3- -4 -4 0 3 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,33,-20] |
[a1,a2,a3,a4,a6] |
j |
85184/53 |
j-invariant |
L |
1.4848545675188 |
L(r)(E,1)/r! |
Ω |
1.4848545675183 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30528o1 15264f1 3392f1 |
Quadratic twists by: -4 8 -3 |