Atkin-Lehner |
2+ 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
11152i |
Isogeny class |
Conductor |
11152 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
6720 |
Modular degree for the optimal curve |
Δ |
931426192 = 24 · 175 · 41 |
Discriminant |
Eigenvalues |
2+ -1 -2 5 4 -6 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-464,3715] |
[a1,a2,a3,a4,a6] |
Generators |
[47:289:1] |
Generators of the group modulo torsion |
j |
691979636992/58214137 |
j-invariant |
L |
3.7548949280658 |
L(r)(E,1)/r! |
Ω |
1.5332215102074 |
Real period |
R |
0.48980462419392 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5576i1 44608bn1 100368n1 |
Quadratic twists by: -4 8 -3 |