Atkin-Lehner |
2- 3+ 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
12084c |
Isogeny class |
Conductor |
12084 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
-89642785536 = -1 · 28 · 38 · 19 · 532 |
Discriminant |
Eigenvalues |
2- 3+ 1 5 5 0 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11965,-499991] |
[a1,a2,a3,a4,a6] |
j |
-740045040050176/350167131 |
j-invariant |
L |
2.7387808250617 |
L(r)(E,1)/r! |
Ω |
0.22823173542181 |
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 |
48336bn1 36252i1 |
Quadratic twists by: -4 -3 |