Atkin-Lehner |
3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
53361d |
Isogeny class |
Conductor |
53361 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1128960 |
Modular degree for the optimal curve |
Δ |
-4037150464486273827 = -1 · 33 · 78 · 1110 |
Discriminant |
Eigenvalues |
0 3+ 4 7+ 11- -5 -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-249018,107855921] |
[a1,a2,a3,a4,a6] |
j |
-6193152/14641 |
j-invariant |
L |
2.6279923524318 |
L(r)(E,1)/r! |
Ω |
0.21899936279386 |
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 |
53361e1 53361l1 4851b1 |
Quadratic twists by: -3 -7 -11 |