Atkin-Lehner |
2- 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
3978h |
Isogeny class |
Conductor |
3978 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
536170752 = 28 · 36 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 3- -2 2 -2 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-491,4155] |
[a1,a2,a3,a4,a6] |
Generators |
[3:50:1] |
Generators of the group modulo torsion |
j |
17923019113/735488 |
j-invariant |
L |
4.8891041335485 |
L(r)(E,1)/r! |
Ω |
1.6297959424914 |
Real period |
R |
0.37497824160694 |
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 |
31824v1 127296z1 442c1 99450bi1 |
Quadratic twists by: -4 8 -3 5 |