Atkin-Lehner |
3+ 5- 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
116025x |
Isogeny class |
Conductor |
116025 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
979200 |
Modular degree for the optimal curve |
Δ |
-33964511298046875 = -1 · 34 · 58 · 75 · 13 · 173 |
Discriminant |
Eigenvalues |
0 3+ 5- 7- 5 13- 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-58583,10431443] |
[a1,a2,a3,a4,a6] |
Generators |
[-67:3748:1] |
Generators of the group modulo torsion |
j |
-56922755399680/86949148923 |
j-invariant |
L |
5.7348814800719 |
L(r)(E,1)/r! |
Ω |
0.33060007879329 |
Real period |
R |
0.57822948808353 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000087955 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116025y1 |
Quadratic twists by: 5 |