Atkin-Lehner |
2+ 3+ 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
109554a |
Isogeny class |
Conductor |
109554 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3749760 |
Modular degree for the optimal curve |
Δ |
94507150076762328 = 23 · 36 · 19 · 318 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -2 4 7 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4026129,-3111064803] |
[a1,a2,a3,a4,a6] |
Generators |
[-1762307265:1166142507:1520875] |
Generators of the group modulo torsion |
j |
8462396842393/110808 |
j-invariant |
L |
5.2854967004685 |
L(r)(E,1)/r! |
Ω |
0.10658055081453 |
Real period |
R |
8.2652614314431 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008576 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109554i1 |
Quadratic twists by: -31 |