Atkin-Lehner |
2- 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
2492c |
Isogeny class |
Conductor |
2492 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-315359887587584 = -1 · 28 · 712 · 89 |
Discriminant |
Eigenvalues |
2- 1 3 7- 0 -4 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3204,-858316] |
[a1,a2,a3,a4,a6] |
j |
-14213361750352/1231874560889 |
j-invariant |
L |
2.8825745110072 |
L(r)(E,1)/r! |
Ω |
0.24021454258394 |
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 |
9968h2 39872u2 22428f2 62300d2 |
Quadratic twists by: -4 8 -3 5 |