Atkin-Lehner |
2+ 3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
35490r |
Isogeny class |
Conductor |
35490 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
79695636471360 = 26 · 34 · 5 · 72 · 137 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 2 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-15382,589204] |
[a1,a2,a3,a4,a6] |
Generators |
[-125:823:1] |
Generators of the group modulo torsion |
j |
83396175409/16511040 |
j-invariant |
L |
3.784638419446 |
L(r)(E,1)/r! |
Ω |
0.57805905413839 |
Real period |
R |
1.6367871034764 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106470eq1 2730s1 |
Quadratic twists by: -3 13 |