Atkin-Lehner |
5- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
101675x |
Isogeny class |
Conductor |
101675 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1029120 |
Modular degree for the optimal curve |
Δ |
-11080835404296875 = -1 · 59 · 77 · 832 |
Discriminant |
Eigenvalues |
0 3 5- 7- 1 5 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-12250,5091406] |
[a1,a2,a3,a4,a6] |
Generators |
[-17850:508267:216] |
Generators of the group modulo torsion |
j |
-884736/48223 |
j-invariant |
L |
11.742822421902 |
L(r)(E,1)/r! |
Ω |
0.33461048718333 |
Real period |
R |
2.1933753697709 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004277 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101675bc1 14525h1 |
Quadratic twists by: 5 -7 |