Atkin-Lehner |
3- 19+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
5871d |
Isogeny class |
Conductor |
5871 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
4320 |
Modular degree for the optimal curve |
Δ |
-95857290621 = -1 · 35 · 192 · 1033 |
Discriminant |
Eigenvalues |
1 3- 1 0 6 -3 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1067,6545] |
[a1,a2,a3,a4,a6] |
Generators |
[91:881:1] |
Generators of the group modulo torsion |
j |
134524670164919/95857290621 |
j-invariant |
L |
6.0121531939515 |
L(r)(E,1)/r! |
Ω |
0.67755630788863 |
Real period |
R |
0.29577631280497 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93936f1 17613a1 111549b1 |
Quadratic twists by: -4 -3 -19 |