Atkin-Lehner |
2- 3+ 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
8850x |
Isogeny class |
Conductor |
8850 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5184 |
Modular degree for the optimal curve |
Δ |
-19354950 = -1 · 2 · 38 · 52 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 -3 -5 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-518,-4759] |
[a1,a2,a3,a4,a6] |
Generators |
[5382:136949:8] |
Generators of the group modulo torsion |
j |
-614929576585/774198 |
j-invariant |
L |
5.724087498506 |
L(r)(E,1)/r! |
Ω |
0.50032242849017 |
Real period |
R |
5.7203986595 |
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 |
70800ck1 26550m1 8850q1 |
Quadratic twists by: -4 -3 5 |