Atkin-Lehner |
3- 11- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
29601l |
Isogeny class |
Conductor |
29601 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
3117380253207363 = 39 · 116 · 132 · 232 |
Discriminant |
Eigenvalues |
-1 3- 0 4 11- 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-682340,-216757492] |
[a1,a2,a3,a4,a6] |
Generators |
[-476:364:1] |
Generators of the group modulo torsion |
j |
48194566758167973625/4276241773947 |
j-invariant |
L |
4.0927581447586 |
L(r)(E,1)/r! |
Ω |
0.16611226835685 |
Real period |
R |
1.0266044227306 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9867i2 |
Quadratic twists by: -3 |