Atkin-Lehner |
2+ 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
78650s |
Isogeny class |
Conductor |
78650 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-2432574698125000000 = -1 · 26 · 510 · 116 · 133 |
Discriminant |
Eigenvalues |
2+ 2 5+ -1 11- 13- 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,300925,-39797875] |
[a1,a2,a3,a4,a6] |
Generators |
[167354:203831:1331] |
Generators of the group modulo torsion |
j |
174196775/140608 |
j-invariant |
L |
7.233279463104 |
L(r)(E,1)/r! |
Ω |
0.14305692317432 |
Real period |
R |
8.4270411426523 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987788 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78650df2 650i2 |
Quadratic twists by: 5 -11 |