Atkin-Lehner |
2+ 3+ 5- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
60450ba |
Isogeny class |
Conductor |
60450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-16713216000000000 = -1 · 218 · 34 · 59 · 13 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 -4 13- 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,63675,-637875] |
[a1,a2,a3,a4,a6] |
Generators |
[23093:671014:343] |
Generators of the group modulo torsion |
j |
14618064605851/8557166592 |
j-invariant |
L |
4.3890189419324 |
L(r)(E,1)/r! |
Ω |
0.22995435876804 |
Real period |
R |
9.5432392869163 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000079 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60450cu1 |
Quadratic twists by: 5 |