Atkin-Lehner |
2- 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
114400x |
Isogeny class |
Conductor |
114400 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-1.9108981577858E+22 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 11+ 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2808033,-6892102063] |
[a1,a2,a3,a4,a6] |
Generators |
[969852408:33728069375:328509] |
Generators of the group modulo torsion |
j |
-38260488858209344/298577837154025 |
j-invariant |
L |
11.886989248237 |
L(r)(E,1)/r! |
Ω |
0.051446469967998 |
Real period |
R |
7.2204840056054 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012346 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114400i2 22880a2 |
Quadratic twists by: -4 5 |