Atkin-Lehner |
2+ 11- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
105754i |
Isogeny class |
Conductor |
105754 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
464640 |
Modular degree for the optimal curve |
Δ |
331370456705024 = 211 · 117 · 192 · 23 |
Discriminant |
Eigenvalues |
2+ -2 1 -1 11- -1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-77443,-8255106] |
[a1,a2,a3,a4,a6] |
Generators |
[-166:264:1] |
Generators of the group modulo torsion |
j |
28993860495361/187049984 |
j-invariant |
L |
2.5017791812978 |
L(r)(E,1)/r! |
Ω |
0.28630140721549 |
Real period |
R |
2.184567661441 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999951465 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9614f1 |
Quadratic twists by: -11 |