Atkin-Lehner |
2+ 5+ 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
27950g |
Isogeny class |
Conductor |
27950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
486720 |
Modular degree for the optimal curve |
Δ |
-24998480000000000 = -1 · 213 · 510 · 132 · 432 |
Discriminant |
Eigenvalues |
2+ 1 5+ 2 -1 13- 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-929076,344693298] |
[a1,a2,a3,a4,a6] |
j |
-9081900117599425/2559844352 |
j-invariant |
L |
1.4764548255443 |
L(r)(E,1)/r! |
Ω |
0.36911370638595 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27950q1 |
Quadratic twists by: 5 |