Atkin-Lehner |
2+ 3+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
111552s |
Isogeny class |
Conductor |
111552 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-17278658740224 = -1 · 216 · 33 · 76 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- -3 4 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26241,1657089] |
[a1,a2,a3,a4,a6] |
Generators |
[-157:1372:1] [137:784:1] |
Generators of the group modulo torsion |
j |
-30493092792964/263651409 |
j-invariant |
L |
9.6536252888764 |
L(r)(E,1)/r! |
Ω |
0.69602639524175 |
Real period |
R |
0.57790105357366 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999977932 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111552da1 13944m1 |
Quadratic twists by: -4 8 |