Atkin-Lehner |
2- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
5390be |
Isogeny class |
Conductor |
5390 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1512 |
Modular degree for the optimal curve |
Δ |
-51765560 = -1 · 23 · 5 · 76 · 11 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 11+ -2 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-50,-393] |
[a1,a2,a3,a4,a6] |
j |
-117649/440 |
j-invariant |
L |
2.464861107435 |
L(r)(E,1)/r! |
Ω |
0.82162036914501 |
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 |
43120cp1 48510z1 26950i1 110b1 |
Quadratic twists by: -4 -3 5 -7 |