Atkin-Lehner |
2+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
5390q |
Isogeny class |
Conductor |
5390 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-1268256220 = -1 · 22 · 5 · 78 · 11 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 11+ -2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-173,1908] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:50:1] |
Generators of the group modulo torsion |
j |
-4826809/10780 |
j-invariant |
L |
1.9700606590125 |
L(r)(E,1)/r! |
Ω |
1.358631072369 |
Real period |
R |
0.72501678309823 |
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 |
43120cs1 48510di1 26950ch1 770a1 |
Quadratic twists by: -4 -3 5 -7 |