Atkin-Lehner |
2- 3+ 5- 31+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
119970bk |
Isogeny class |
Conductor |
119970 |
Conductor |
∏ cp |
640 |
Product of Tamagawa factors cp |
Δ |
2.3425782714844E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -2 -6 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1541837,-27017451] |
[a1,a2,a3,a4,a6] |
Generators |
[-1093:19296:1] |
Generators of the group modulo torsion |
j |
15013262359043333343603/8676215820312500000 |
j-invariant |
L |
12.209713371089 |
L(r)(E,1)/r! |
Ω |
0.14810438517967 |
Real period |
R |
0.51524948846894 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999823715 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119970a2 |
Quadratic twists by: -3 |