Atkin-Lehner |
2+ 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84966o |
Isogeny class |
Conductor |
84966 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
28200960 |
Modular degree for the optimal curve |
Δ |
-2.8714058460523E+24 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- -5 1 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-206715492,1146766978512] |
[a1,a2,a3,a4,a6] |
Generators |
[-3739:1368406:1] [307:1040680:1] |
Generators of the group modulo torsion |
j |
-344002044213921241/1011143540736 |
j-invariant |
L |
7.5081464818305 |
L(r)(E,1)/r! |
Ω |
0.080714672823562 |
Real period |
R |
5.813802356772 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000569 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12138g1 4998u1 |
Quadratic twists by: -7 17 |