Atkin-Lehner |
2- 3+ 5- 79- |
Signs for the Atkin-Lehner involutions |
Class |
9480d |
Isogeny class |
Conductor |
9480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3200 |
Modular degree for the optimal curve |
Δ |
-1941200640 = -1 · 28 · 35 · 5 · 792 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 2 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,300,612] |
[a1,a2,a3,a4,a6] |
j |
11625163184/7582815 |
j-invariant |
L |
1.8480042666083 |
L(r)(E,1)/r! |
Ω |
0.92400213330417 |
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 |
18960e1 75840ba1 28440f1 47400i1 |
Quadratic twists by: -4 8 -3 5 |