Atkin-Lehner |
2- 5+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
129200bu |
Isogeny class |
Conductor |
129200 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
7077888 |
Modular degree for the optimal curve |
Δ |
4.64936763392E+21 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 -2 -2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-26237075,51623335250] |
[a1,a2,a3,a4,a6] |
Generators |
[-1031:278528:1] |
Generators of the group modulo torsion |
j |
31209728336698362849/72646369280000 |
j-invariant |
L |
4.1711787060602 |
L(r)(E,1)/r! |
Ω |
0.13770661573516 |
Real period |
R |
2.5241940444948 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000177757 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16150i1 25840p1 |
Quadratic twists by: -4 5 |