Atkin-Lehner |
2+ 3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
57330h |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
2.8026282886634E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 13- -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3880515,-1471909419] |
[a1,a2,a3,a4,a6] |
Generators |
[-522:20541:1] |
Generators of the group modulo torsion |
j |
2034416504287874043/882294347833600 |
j-invariant |
L |
3.1346368411984 |
L(r)(E,1)/r! |
Ω |
0.11190017108258 |
Real period |
R |
0.70031993934916 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000542 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57330dm2 1170a2 |
Quadratic twists by: -3 -7 |