Atkin-Lehner |
2+ 3+ 31+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
10974b |
Isogeny class |
Conductor |
10974 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8784 |
Modular degree for the optimal curve |
Δ |
-5599933434 = -1 · 2 · 33 · 313 · 592 |
Discriminant |
Eigenvalues |
2+ 3+ 3 2 1 -5 7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-441,4887] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:97:1] |
Generators of the group modulo torsion |
j |
-9518692876057/5599933434 |
j-invariant |
L |
3.7484432545447 |
L(r)(E,1)/r! |
Ω |
1.2538024447724 |
Real period |
R |
1.4948300947145 |
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 |
87792j1 32922i1 |
Quadratic twists by: -4 -3 |