Atkin-Lehner |
2- 11- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
85514o |
Isogeny class |
Conductor |
85514 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
125664 |
Modular degree for the optimal curve |
Δ |
156311382656 = 27 · 11 · 136 · 23 |
Discriminant |
Eigenvalues |
2- -2 -1 1 11- 13+ 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-8031,-277031] |
[a1,a2,a3,a4,a6] |
Generators |
[-50:37:1] |
Generators of the group modulo torsion |
j |
11867954041/32384 |
j-invariant |
L |
7.1827954041915 |
L(r)(E,1)/r! |
Ω |
0.50440350188465 |
Real period |
R |
2.0343110743064 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999938344 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
506a1 |
Quadratic twists by: 13 |