Atkin-Lehner |
2+ 3- 5+ 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
104130k |
Isogeny class |
Conductor |
104130 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
11722752 |
Modular degree for the optimal curve |
Δ |
2.5447992201233E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-16008255,-4318111175] |
[a1,a2,a3,a4,a6] |
Generators |
[-4349312:-150118511:1331] |
Generators of the group modulo torsion |
j |
622340665749408002096881/349080825805664062500 |
j-invariant |
L |
3.0284787467762 |
L(r)(E,1)/r! |
Ω |
0.081147132713764 |
Real period |
R |
9.3302087253692 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013332 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34710w1 |
Quadratic twists by: -3 |