Atkin-Lehner |
5- 11+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
103675bc |
Isogeny class |
Conductor |
103675 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
14880 |
Modular degree for the optimal curve |
Δ |
-2591875 = -1 · 54 · 11 · 13 · 29 |
Discriminant |
Eigenvalues |
0 2 5- -3 11+ 13- -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-33,118] |
[a1,a2,a3,a4,a6] |
Generators |
[2:7:1] |
Generators of the group modulo torsion |
j |
-6553600/4147 |
j-invariant |
L |
5.5685247474959 |
L(r)(E,1)/r! |
Ω |
2.3717055970024 |
Real period |
R |
0.78263293436147 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000026983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103675b1 |
Quadratic twists by: 5 |