Atkin-Lehner |
2+ 3- 17- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
20502q |
Isogeny class |
Conductor |
20502 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
25088 |
Modular degree for the optimal curve |
Δ |
232439538816 = 27 · 313 · 17 · 67 |
Discriminant |
Eigenvalues |
2+ 3- -1 -1 1 -7 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1845,20277] |
[a1,a2,a3,a4,a6] |
Generators |
[3:120:1] |
Generators of the group modulo torsion |
j |
953054410321/318847104 |
j-invariant |
L |
2.7512095498351 |
L(r)(E,1)/r! |
Ω |
0.91347183419256 |
Real period |
R |
0.75295412700573 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6834t1 |
Quadratic twists by: -3 |