Atkin-Lehner |
2- 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
25300f |
Isogeny class |
Conductor |
25300 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
-3594255371093750000 = -1 · 24 · 516 · 112 · 233 |
Discriminant |
Eigenvalues |
2- 1 5+ 0 11- -3 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-792258,-286604887] |
[a1,a2,a3,a4,a6] |
Generators |
[2542:118877:1] |
Generators of the group modulo torsion |
j |
-219980483082985216/14377021484375 |
j-invariant |
L |
6.0889401391047 |
L(r)(E,1)/r! |
Ω |
0.079710623255948 |
Real period |
R |
6.3656719460019 |
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 |
101200bf1 5060f1 |
Quadratic twists by: -4 5 |