Atkin-Lehner |
2- 3+ 7- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
14322h |
Isogeny class |
Conductor |
14322 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
9856 |
Modular degree for the optimal curve |
Δ |
3871752192 = 214 · 32 · 7 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11+ 2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-419,1217] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:70:1] |
Generators of the group modulo torsion |
j |
8136367582897/3871752192 |
j-invariant |
L |
5.5084454212251 |
L(r)(E,1)/r! |
Ω |
1.2439082283013 |
Real period |
R |
0.3163098195497 |
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 |
114576ca1 42966s1 100254cq1 |
Quadratic twists by: -4 -3 -7 |