Atkin-Lehner |
2- 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
57330dk |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
8093780604000000 = 28 · 33 · 56 · 78 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 2 13- -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2611832,1625319931] |
[a1,a2,a3,a4,a6] |
Generators |
[961:-1951:1] |
Generators of the group modulo torsion |
j |
620307836233921107/2548000000 |
j-invariant |
L |
10.98102172274 |
L(r)(E,1)/r! |
Ω |
0.36498506664537 |
Real period |
R |
0.31339814528489 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000164 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57330g2 8190bc2 |
Quadratic twists by: -3 -7 |