Atkin-Lehner |
2- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
3536k |
Isogeny class |
Conductor |
3536 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-540942598144 = -1 · 216 · 134 · 172 |
Discriminant |
Eigenvalues |
2- -2 2 -2 -2 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,408,35380] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:170:1] |
Generators of the group modulo torsion |
j |
1829276567/132066064 |
j-invariant |
L |
2.5954705767091 |
L(r)(E,1)/r! |
Ω |
0.70572234459119 |
Real period |
R |
1.8388751586239 |
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 |
442c2 14144bd2 31824v2 88400bj2 |
Quadratic twists by: -4 8 -3 5 |