Atkin-Lehner |
2+ 3- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
3978d |
Isogeny class |
Conductor |
3978 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
14336 |
Modular degree for the optimal curve |
Δ |
225140243447808 = 214 · 314 · 132 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 2 13+ 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-15921,280989] |
[a1,a2,a3,a4,a6] |
Generators |
[-110:887:1] |
Generators of the group modulo torsion |
j |
612241204436497/308834353152 |
j-invariant |
L |
2.7610638992799 |
L(r)(E,1)/r! |
Ω |
0.49446867283897 |
Real period |
R |
2.7919502801131 |
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 |
31824bf1 127296bv1 1326e1 99450dc1 |
Quadratic twists by: -4 8 -3 5 |