Atkin-Lehner |
2+ 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
101080i |
Isogeny class |
Conductor |
101080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
19205200 = 24 · 52 · 7 · 193 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 4 -6 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1102,-14079] |
[a1,a2,a3,a4,a6] |
Generators |
[177:2310:1] |
Generators of the group modulo torsion |
j |
1348614144/175 |
j-invariant |
L |
7.4149257933745 |
L(r)(E,1)/r! |
Ω |
0.82862405673081 |
Real period |
R |
4.4742399835671 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028906 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101080u1 |
Quadratic twists by: -19 |