Atkin-Lehner |
2+ 3- 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
53064d |
Isogeny class |
Conductor |
53064 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
135260160 |
Modular degree for the optimal curve |
Δ |
-1.6202496417019E+22 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 11+ 0 7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-318385518060,-69147752947779692] |
[a1,a2,a3,a4,a6] |
j |
-19125646950908550314449477875328000/86818932275691627 |
j-invariant |
L |
2.4914220007061 |
L(r)(E,1)/r! |
Ω |
0.0031778341856591 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
49 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106128p1 17688l1 |
Quadratic twists by: -4 -3 |