Atkin-Lehner |
11- 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
7579d |
Isogeny class |
Conductor |
7579 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
11040 |
Modular degree for the optimal curve |
Δ |
-76454291771 = -1 · 115 · 132 · 532 |
Discriminant |
Eigenvalues |
0 -3 -3 -4 11- 13+ -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,776,10380] |
[a1,a2,a3,a4,a6] |
Generators |
[6:123:1] [36:291:1] |
Generators of the group modulo torsion |
j |
51678378196992/76454291771 |
j-invariant |
L |
2.3662517120466 |
L(r)(E,1)/r! |
Ω |
0.73827049329344 |
Real period |
R |
0.16025641912692 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121264f1 68211a1 83369e1 98527c1 |
Quadratic twists by: -4 -3 -11 13 |