Atkin-Lehner |
2- 3+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
9744j |
Isogeny class |
Conductor |
9744 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
484507070208 = 28 · 38 · 73 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 2 6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2612,39852] |
[a1,a2,a3,a4,a6] |
j |
7701397204048/1892605743 |
j-invariant |
L |
2.625896629291 |
L(r)(E,1)/r! |
Ω |
0.87529887643033 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2436c2 38976bv2 29232bn2 68208cw2 |
Quadratic twists by: -4 8 -3 -7 |