Atkin-Lehner |
5- 13+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
87035g |
Isogeny class |
Conductor |
87035 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15552 |
Modular degree for the optimal curve |
Δ |
-435175 = -1 · 52 · 132 · 103 |
Discriminant |
Eigenvalues |
-1 2 5- -3 0 13+ -6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-140,580] |
[a1,a2,a3,a4,a6] |
Generators |
[8:3:1] |
Generators of the group modulo torsion |
j |
-1796449369/2575 |
j-invariant |
L |
4.9713286135412 |
L(r)(E,1)/r! |
Ω |
2.9721283999953 |
Real period |
R |
0.83632467023392 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001107 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87035b1 |
Quadratic twists by: 13 |