Atkin-Lehner |
3- 5- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
124545bf |
Isogeny class |
Conductor |
124545 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3611520 |
Modular degree for the optimal curve |
Δ |
-2783181393343875 = -1 · 3 · 53 · 199 · 23 |
Discriminant |
Eigenvalues |
1 3- 5- -3 -3 -5 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5129818,4471564931] |
[a1,a2,a3,a4,a6] |
Generators |
[281562:-86017:216] |
Generators of the group modulo torsion |
j |
-46264412677699/8625 |
j-invariant |
L |
7.7518575138873 |
L(r)(E,1)/r! |
Ω |
0.35768430027665 |
Real period |
R |
3.6120574457761 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000094917 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124545o1 |
Quadratic twists by: -19 |