Atkin-Lehner |
2+ 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
79200q |
Isogeny class |
Conductor |
79200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-5227200000000 = -1 · 212 · 33 · 58 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 11- -5 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3000,-90000] |
[a1,a2,a3,a4,a6] |
Generators |
[100:1100:1] |
Generators of the group modulo torsion |
j |
69120/121 |
j-invariant |
L |
5.0590662165568 |
L(r)(E,1)/r! |
Ω |
0.40161912678285 |
Real period |
R |
0.52486152091995 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988651 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79200cx1 79200cy1 79200cs1 |
Quadratic twists by: -4 -3 5 |