Atkin-Lehner |
2- 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
2852b |
Isogeny class |
Conductor |
2852 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
2760 |
Modular degree for the optimal curve |
Δ |
-242317134064 = -1 · 24 · 232 · 315 |
Discriminant |
Eigenvalues |
2- 2 3 1 2 0 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1214,-28339] |
[a1,a2,a3,a4,a6] |
j |
-12377059508992/15144820879 |
j-invariant |
L |
3.8640018250546 |
L(r)(E,1)/r! |
Ω |
0.38640018250546 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11408f1 45632m1 25668e1 71300e1 |
Quadratic twists by: -4 8 -3 5 |