Atkin-Lehner |
2+ 3+ 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
111720j |
Isogeny class |
Conductor |
111720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
688128 |
Modular degree for the optimal curve |
Δ |
-2884894583504640 = -1 · 28 · 3 · 5 · 78 · 194 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 4 -6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11580,-2624460] |
[a1,a2,a3,a4,a6] |
Generators |
[516352606:-17263020944:456533] |
Generators of the group modulo torsion |
j |
-5702413264/95785935 |
j-invariant |
L |
5.8676917702814 |
L(r)(E,1)/r! |
Ω |
0.19423747596893 |
Real period |
R |
15.104427592705 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999781113 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15960g1 |
Quadratic twists by: -7 |