Atkin-Lehner |
3+ 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
113715a |
Isogeny class |
Conductor |
113715 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
195840 |
Modular degree for the optimal curve |
Δ |
-844708793355 = -1 · 33 · 5 · 7 · 197 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 7+ -2 2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1083,46298] |
[a1,a2,a3,a4,a6] |
Generators |
[-366:71:8] [19:-181:1] |
Generators of the group modulo torsion |
j |
-110592/665 |
j-invariant |
L |
5.8683307485236 |
L(r)(E,1)/r! |
Ω |
0.76874304414446 |
Real period |
R |
0.95420875641038 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999920011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113715d1 5985a1 |
Quadratic twists by: -3 -19 |