Atkin-Lehner |
2+ 11+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
72512a |
Isogeny class |
Conductor |
72512 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9728 |
Modular degree for the optimal curve |
Δ |
-7468736 = -1 · 26 · 11 · 1032 |
Discriminant |
Eigenvalues |
2+ 1 1 -2 11+ -4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,25,131] |
[a1,a2,a3,a4,a6] |
Generators |
[10:-103:8] [33914:6245611:1] |
Generators of the group modulo torsion |
j |
25934336/116699 |
j-invariant |
L |
11.947065972729 |
L(r)(E,1)/r! |
Ω |
1.6824063915146 |
Real period |
R |
3.5505886190734 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999938 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72512f1 36256m1 |
Quadratic twists by: -4 8 |