Atkin-Lehner |
2- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
27200bs |
Isogeny class |
Conductor |
27200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1849600000000 = -1 · 214 · 58 · 172 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 2 -6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2300,-78000] |
[a1,a2,a3,a4,a6] |
Generators |
[110:-1000:1] [80:500:1] |
Generators of the group modulo torsion |
j |
-5256144/7225 |
j-invariant |
L |
7.2206380906832 |
L(r)(E,1)/r! |
Ω |
0.32816680875726 |
Real period |
R |
2.7503688284427 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27200b2 6800i2 5440w2 |
Quadratic twists by: -4 8 5 |