Atkin-Lehner |
2+ 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
103488bd |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-92207808 = -1 · 26 · 35 · 72 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 11+ -5 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6799,218065] |
[a1,a2,a3,a4,a6] |
Generators |
[48:1:1] [56:99:1] |
Generators of the group modulo torsion |
j |
-11085279718912/29403 |
j-invariant |
L |
8.652244237696 |
L(r)(E,1)/r! |
Ω |
1.6524240839799 |
Real period |
R |
2.6180459125924 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998043 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103488ec1 51744cn1 103488ci1 |
Quadratic twists by: -4 8 -7 |