Atkin-Lehner |
2+ 5- 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
106930k |
Isogeny class |
Conductor |
106930 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-199086551200 = -1 · 25 · 52 · 173 · 373 |
Discriminant |
Eigenvalues |
2+ 0 5- 1 -2 -5 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,31,-21475] |
[a1,a2,a3,a4,a6] |
Generators |
[31:77:1] |
Generators of the group modulo torsion |
j |
658503/40522400 |
j-invariant |
L |
3.9877530500927 |
L(r)(E,1)/r! |
Ω |
0.46256641767466 |
Real period |
R |
0.71841089959102 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999377737 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106930a1 |
Quadratic twists by: 17 |