Atkin-Lehner |
3+ 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
28677b |
Isogeny class |
Conductor |
28677 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
4992 |
Modular degree for the optimal curve |
Δ |
3469917 = 3 · 114 · 79 |
Discriminant |
Eigenvalues |
-1 3+ 0 -2 11- -5 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-63,144] |
[a1,a2,a3,a4,a6] |
Generators |
[6:2:1] |
Generators of the group modulo torsion |
j |
1890625/237 |
j-invariant |
L |
2.3943284506451 |
L(r)(E,1)/r! |
Ω |
2.4151887027376 |
Real period |
R |
0.33045429644637 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86031f1 28677a1 |
Quadratic twists by: -3 -11 |