Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
52800fa |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
92928000000 = 214 · 3 · 56 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11- -2 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1233,8337] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:44:1] |
Generators of the group modulo torsion |
j |
810448/363 |
j-invariant |
L |
4.0784660269009 |
L(r)(E,1)/r! |
Ω |
0.96140818471104 |
Real period |
R |
2.1210897159335 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000223 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52800cd2 13200ce2 2112bc2 |
Quadratic twists by: -4 8 5 |