Atkin-Lehner |
2+ 5+ 7- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
86450m |
Isogeny class |
Conductor |
86450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-102659375000 = -1 · 23 · 58 · 7 · 13 · 192 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- -1 13- 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1124,-5102] |
[a1,a2,a3,a4,a6] |
Generators |
[8:62:1] |
Generators of the group modulo torsion |
j |
10063705679/6570200 |
j-invariant |
L |
5.1559484813485 |
L(r)(E,1)/r! |
Ω |
0.60604423983566 |
Real period |
R |
2.1268861814078 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010154 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17290n1 |
Quadratic twists by: 5 |