Atkin-Lehner |
2+ 3- 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
111720x |
Isogeny class |
Conductor |
111720 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
-14780556000000 = -1 · 28 · 34 · 56 · 74 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 3 -2 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,5815,73275] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:-210:1] |
Generators of the group modulo torsion |
j |
35372524544/24046875 |
j-invariant |
L |
9.1343166922903 |
L(r)(E,1)/r! |
Ω |
0.44199861839555 |
Real period |
R |
0.071756734143059 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016388 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111720f1 |
Quadratic twists by: -7 |