Atkin-Lehner |
2- 7+ 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
65296p |
Isogeny class |
Conductor |
65296 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
626688 |
Modular degree for the optimal curve |
Δ |
-36526310233735168 = -1 · 220 · 7 · 116 · 532 |
Discriminant |
Eigenvalues |
2- -2 -2 7+ 11- -4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-107024,-16350188] |
[a1,a2,a3,a4,a6] |
Generators |
[628:-12826:1] |
Generators of the group modulo torsion |
j |
-33098732111216017/8917556209408 |
j-invariant |
L |
1.3119354006771 |
L(r)(E,1)/r! |
Ω |
0.13014845232489 |
Real period |
R |
0.84002497285326 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999931689 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8162j1 |
Quadratic twists by: -4 |