Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
6600ba |
Isogeny class |
Conductor |
6600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-89100000000 = -1 · 28 · 34 · 58 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11+ 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1092,-3312] |
[a1,a2,a3,a4,a6] |
Generators |
[18:150:1] |
Generators of the group modulo torsion |
j |
35969456/22275 |
j-invariant |
L |
4.6455496383448 |
L(r)(E,1)/r! |
Ω |
0.62008684239236 |
Real period |
R |
0.46823578980706 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13200i2 52800be2 19800m2 1320a2 |
Quadratic twists by: -4 8 -3 5 |