Atkin-Lehner |
2- 3- 7- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
110124p |
Isogeny class |
Conductor |
110124 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
211968 |
Modular degree for the optimal curve |
Δ |
361904025168 = 24 · 38 · 73 · 19 · 232 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 4 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19344,1035137] |
[a1,a2,a3,a4,a6] |
Generators |
[76:63:1] |
Generators of the group modulo torsion |
j |
68630166372352/31027437 |
j-invariant |
L |
10.037828172232 |
L(r)(E,1)/r! |
Ω |
0.94127475542088 |
Real period |
R |
0.59244882106738 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027436 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36708f1 |
Quadratic twists by: -3 |