Atkin-Lehner |
2+ 3+ 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
125400p |
Isogeny class |
Conductor |
125400 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
11059200 |
Modular degree for the optimal curve |
Δ |
-1.1859710458662E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 11- -6 8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,5184592,-2610721188] |
[a1,a2,a3,a4,a6] |
Generators |
[757:41800:1] |
Generators of the group modulo torsion |
j |
963268596008435804/741231903666375 |
j-invariant |
L |
4.24302181888 |
L(r)(E,1)/r! |
Ω |
0.07087145978581 |
Real period |
R |
2.4945525495471 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997221517 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25080r1 |
Quadratic twists by: 5 |