Atkin-Lehner |
2+ 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
14762a |
Isogeny class |
Conductor |
14762 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3360 |
Modular degree for the optimal curve |
Δ |
10392448 = 27 · 113 · 61 |
Discriminant |
Eigenvalues |
2+ 1 0 2 11+ 3 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-256,-1586] |
[a1,a2,a3,a4,a6] |
Generators |
[-74:55:8] |
Generators of the group modulo torsion |
j |
1386195875/7808 |
j-invariant |
L |
4.4728758244628 |
L(r)(E,1)/r! |
Ω |
1.1945113387298 |
Real period |
R |
1.8722617690758 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118096p1 14762f1 |
Quadratic twists by: -4 -11 |