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 |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
3012558848 = 220 · 132 · 17 |
Discriminant |
Eigenvalues |
2- -2 2 -2 -2 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-872,9268] |
[a1,a2,a3,a4,a6] |
Generators |
[12:26:1] |
Generators of the group modulo torsion |
j |
17923019113/735488 |
j-invariant |
L |
2.5954705767091 |
L(r)(E,1)/r! |
Ω |
1.4114446891824 |
Real period |
R |
0.91943757931195 |
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 |
442c1 14144bd1 31824v1 88400bj1 |
Quadratic twists by: -4 8 -3 5 |