Atkin-Lehner |
2- 3+ 5+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
60450ce |
Isogeny class |
Conductor |
60450 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
3654202500000 = 25 · 32 · 57 · 132 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -6 13- -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-21963,1240281] |
[a1,a2,a3,a4,a6] |
Generators |
[105:-378:1] [-105:1602:1] |
Generators of the group modulo torsion |
j |
74985951512809/233868960 |
j-invariant |
L |
11.600068528828 |
L(r)(E,1)/r! |
Ω |
0.79131777092057 |
Real period |
R |
0.36647946485942 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12090l2 |
Quadratic twists by: 5 |