Atkin-Lehner |
2+ 5- 19- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
57950bb |
Isogeny class |
Conductor |
57950 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1.9748699398613E+21 |
Discriminant |
Eigenvalues |
2+ -2 5- -4 4 -4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-20712701,36218223048] |
[a1,a2,a3,a4,a6] |
Generators |
[251:176042:1] |
Generators of the group modulo torsion |
j |
503157384287060899733/1011133409208976 |
j-invariant |
L |
2.4866892839633 |
L(r)(E,1)/r! |
Ω |
0.14774653462694 |
Real period |
R |
1.0519236924472 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997845 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57950bw2 |
Quadratic twists by: 5 |