Atkin-Lehner |
2- 3+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
13524a |
Isogeny class |
Conductor |
13524 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
9792 |
Modular degree for the optimal curve |
Δ |
-975459072 = -1 · 28 · 3 · 74 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 4 7+ 2 1 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-261,-2127] |
[a1,a2,a3,a4,a6] |
j |
-3211264/1587 |
j-invariant |
L |
3.4804874303158 |
L(r)(E,1)/r! |
Ω |
0.58008123838597 |
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 |
54096cj1 40572n1 13524h1 |
Quadratic twists by: -4 -3 -7 |