Atkin-Lehner |
2+ 5+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
103360q |
Isogeny class |
Conductor |
103360 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
102400 |
Modular degree for the optimal curve |
Δ |
-138123688960 = -1 · 210 · 5 · 175 · 19 |
Discriminant |
Eigenvalues |
2+ 2 5+ -1 6 -1 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,799,-15895] |
[a1,a2,a3,a4,a6] |
Generators |
[16:27:1] |
Generators of the group modulo torsion |
j |
55019980544/134886415 |
j-invariant |
L |
9.7996390161497 |
L(r)(E,1)/r! |
Ω |
0.53502774514748 |
Real period |
R |
3.6632264803988 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999972326 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103360bz1 12920e1 |
Quadratic twists by: -4 8 |