Atkin-Lehner |
2- 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
109200dr |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
3885014689920000000 = 213 · 34 · 57 · 78 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-457408,72157312] |
[a1,a2,a3,a4,a6] |
Generators |
[-648:9800:1] |
Generators of the group modulo torsion |
j |
165369706597369/60703354530 |
j-invariant |
L |
6.318157420688 |
L(r)(E,1)/r! |
Ω |
0.22687508725342 |
Real period |
R |
0.87026928018828 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000026327 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13650cm3 21840bu3 |
Quadratic twists by: -4 5 |