Atkin-Lehner |
2- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
3536i |
Isogeny class |
Conductor |
3536 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
336100364288 = 212 · 136 · 17 |
Discriminant |
Eigenvalues |
2- 0 4 2 -6 13+ 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11723,-487750] |
[a1,a2,a3,a4,a6] |
Generators |
[325:5480:1] |
Generators of the group modulo torsion |
j |
43499078731809/82055753 |
j-invariant |
L |
4.1971862338169 |
L(r)(E,1)/r! |
Ω |
0.45886937825478 |
Real period |
R |
4.573399787299 |
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 |
221a1 14144bb1 31824ba1 88400bi1 |
Quadratic twists by: -4 8 -3 5 |