Atkin-Lehner |
2+ 5+ 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
40120a |
Isogeny class |
Conductor |
40120 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8832 |
Modular degree for the optimal curve |
Δ |
-51353600 = -1 · 211 · 52 · 17 · 59 |
Discriminant |
Eigenvalues |
2+ 1 5+ -2 4 -5 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-56,-400] |
[a1,a2,a3,a4,a6] |
Generators |
[106:295:8] |
Generators of the group modulo torsion |
j |
-9653618/25075 |
j-invariant |
L |
5.7079776411771 |
L(r)(E,1)/r! |
Ω |
0.81032330827483 |
Real period |
R |
3.5220371812639 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80240a1 |
Quadratic twists by: -4 |