Atkin-Lehner |
2- 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
36652t |
Isogeny class |
Conductor |
36652 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
431424 |
Modular degree for the optimal curve |
Δ |
171430683311603408 = 24 · 79 · 11 · 176 |
Discriminant |
Eigenvalues |
2- 2 2 7- 11- -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-562977,-161173858] |
[a1,a2,a3,a4,a6] |
Generators |
[-2548441520058:-4741712928028:5630252139] |
Generators of the group modulo torsion |
j |
30562867462144/265513259 |
j-invariant |
L |
9.5514859138232 |
L(r)(E,1)/r! |
Ω |
0.17438312541922 |
Real period |
R |
18.257664726946 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36652q1 |
Quadratic twists by: -7 |