Atkin-Lehner |
2+ 3+ 5- 89- |
Signs for the Atkin-Lehner involutions |
Class |
106800j |
Isogeny class |
Conductor |
106800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
9930361974048000 = 28 · 320 · 53 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 -4 -2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-100788,11377872] |
[a1,a2,a3,a4,a6] |
Generators |
[137:350:1] |
Generators of the group modulo torsion |
j |
3538380432701072/310323811689 |
j-invariant |
L |
3.6070698378416 |
L(r)(E,1)/r! |
Ω |
0.39763078572602 |
Real period |
R |
4.5357024335365 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999803403 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53400l2 106800u2 |
Quadratic twists by: -4 5 |