Atkin-Lehner |
3+ 23+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
5037a |
Isogeny class |
Conductor |
5037 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
4473818067 = 3 · 234 · 732 |
Discriminant |
Eigenvalues |
1 3+ 0 2 0 -2 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-820,8113] |
[a1,a2,a3,a4,a6] |
Generators |
[318:1447:8] |
Generators of the group modulo torsion |
j |
61093154391625/4473818067 |
j-invariant |
L |
4.0179629887962 |
L(r)(E,1)/r! |
Ω |
1.3499178745586 |
Real period |
R |
2.9764499489349 |
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 |
80592v2 15111g2 125925x2 115851b2 |
Quadratic twists by: -4 -3 5 -23 |