Atkin-Lehner |
2+ 3- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
5808j |
Isogeny class |
Conductor |
5808 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
586732839846912 = 210 · 35 · 119 |
Discriminant |
Eigenvalues |
2+ 3- -4 4 11+ 6 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-111360,-14293116] |
[a1,a2,a3,a4,a6] |
j |
63253004/243 |
j-invariant |
L |
2.6140703706173 |
L(r)(E,1)/r! |
Ω |
0.26140703706173 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2904b1 23232cr1 17424m1 5808k1 |
Quadratic twists by: -4 8 -3 -11 |