Atkin-Lehner |
3+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
28749a |
Isogeny class |
Conductor |
28749 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
18462446396702973 = 34 · 74 · 377 |
Discriminant |
Eigenvalues |
-1 3+ 2 7+ 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-282727,-57610072] |
[a1,a2,a3,a4,a6] |
Generators |
[57792:2553709:27] |
Generators of the group modulo torsion |
j |
974126411497/7195797 |
j-invariant |
L |
2.9334147156832 |
L(r)(E,1)/r! |
Ω |
0.20713386926114 |
Real period |
R |
3.5404817258362 |
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 |
86247f4 777a3 |
Quadratic twists by: -3 37 |