Atkin-Lehner |
2- 3+ 5+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
60450ca |
Isogeny class |
Conductor |
60450 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
937728 |
Modular degree for the optimal curve |
Δ |
-266439361875148800 = -1 · 222 · 38 · 52 · 13 · 313 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 3 13- -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-357558,85810611] |
[a1,a2,a3,a4,a6] |
Generators |
[289:-2737:1] |
Generators of the group modulo torsion |
j |
-202219614216002563465/10657574475005952 |
j-invariant |
L |
9.3584183296611 |
L(r)(E,1)/r! |
Ω |
0.30633514596999 |
Real period |
R |
0.69430925073149 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60450bk1 |
Quadratic twists by: 5 |