Atkin-Lehner |
2+ 3- 17- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
20502s |
Isogeny class |
Conductor |
20502 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
16463563932672 = 210 · 36 · 173 · 672 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 -2 6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7353,146029] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:583:1] |
Generators of the group modulo torsion |
j |
60314690631313/22583763968 |
j-invariant |
L |
2.5422154180788 |
L(r)(E,1)/r! |
Ω |
0.63509624227035 |
Real period |
R |
0.66714702666976 |
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 |
2278b1 |
Quadratic twists by: -3 |