Atkin-Lehner |
2- 3+ 5+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
128100c |
Isogeny class |
Conductor |
128100 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-1.7040363819901E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13240333,-18540354338] |
[a1,a2,a3,a4,a6] |
Generators |
[267357:24467039:27] |
Generators of the group modulo torsion |
j |
-1026787233011482624000/68161455279603 |
j-invariant |
L |
5.4863666173135 |
L(r)(E,1)/r! |
Ω |
0.03957246462864 |
Real period |
R |
7.7022785850446 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999520895 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5124c3 |
Quadratic twists by: 5 |