Atkin-Lehner |
11+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
53911a |
Isogeny class |
Conductor |
53911 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-2844964487289067 = -1 · 11 · 139 · 293 |
Discriminant |
Eigenvalues |
-1 2 2 5 11+ 13+ 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-114332,15051928] |
[a1,a2,a3,a4,a6] |
Generators |
[13222:520665:8] |
Generators of the group modulo torsion |
j |
-34242639807817/589408963 |
j-invariant |
L |
7.8202730675115 |
L(r)(E,1)/r! |
Ω |
0.45335290646319 |
Real period |
R |
4.3124643936909 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998931 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4147c1 |
Quadratic twists by: 13 |