Atkin-Lehner |
2+ 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
113344bq |
Isogeny class |
Conductor |
113344 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
18262935381999616 = 232 · 75 · 11 · 23 |
Discriminant |
Eigenvalues |
2+ -1 3 7- 11- -1 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-163009,-24428863] |
[a1,a2,a3,a4,a6] |
Generators |
[-221:868:1] |
Generators of the group modulo torsion |
j |
1827347754908593/69667569664 |
j-invariant |
L |
7.4732721504446 |
L(r)(E,1)/r! |
Ω |
0.23815777738754 |
Real period |
R |
3.1379500758052 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999924748 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113344cu1 3542n1 |
Quadratic twists by: -4 8 |