Atkin-Lehner |
2+ 3- 19+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
121752o |
Isogeny class |
Conductor |
121752 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
112640 |
Modular degree for the optimal curve |
Δ |
-11360922624 = -1 · 210 · 38 · 19 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 3 2 -1 3 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4971,134998] |
[a1,a2,a3,a4,a6] |
Generators |
[47:72:1] |
Generators of the group modulo torsion |
j |
-18198161572/15219 |
j-invariant |
L |
10.858280051409 |
L(r)(E,1)/r! |
Ω |
1.2663595333989 |
Real period |
R |
1.071800675681 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021175 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40584z1 |
Quadratic twists by: -3 |