Atkin-Lehner |
2- 5+ 31- 47- |
Signs for the Atkin-Lehner involutions |
Class |
72850s |
Isogeny class |
Conductor |
72850 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
-28003540000000 = -1 · 28 · 57 · 313 · 47 |
Discriminant |
Eigenvalues |
2- -2 5+ -1 -4 -4 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1188,254992] |
[a1,a2,a3,a4,a6] |
Generators |
[132:1484:1] [-54:430:1] |
Generators of the group modulo torsion |
j |
-11867954041/1792226560 |
j-invariant |
L |
10.379499377073 |
L(r)(E,1)/r! |
Ω |
0.54437094636861 |
Real period |
R |
0.39722834548767 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999137 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14570e1 |
Quadratic twists by: 5 |