Atkin-Lehner |
2+ 3- 7- 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
113526r |
Isogeny class |
Conductor |
113526 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
940032 |
Modular degree for the optimal curve |
Δ |
16775534903758848 = 212 · 36 · 76 · 17 · 532 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-385182,-91705068] |
[a1,a2,a3,a4,a6] |
Generators |
[-371:357:1] |
Generators of the group modulo torsion |
j |
8669514345388422625/23011707686912 |
j-invariant |
L |
5.1609771268969 |
L(r)(E,1)/r! |
Ω |
0.19166918133946 |
Real period |
R |
2.2438736472986 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000051955 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12614i1 |
Quadratic twists by: -3 |