Atkin-Lehner |
2+ 3- 5+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
60450be |
Isogeny class |
Conductor |
60450 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2764800 |
Modular degree for the optimal curve |
Δ |
-9.8967984375E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 13- 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,2465599,-265047052] |
[a1,a2,a3,a4,a6] |
Generators |
[2916316:-185796552:4913] |
Generators of the group modulo torsion |
j |
106089224556966884351/63339510000000000 |
j-invariant |
L |
6.41065039442 |
L(r)(E,1)/r! |
Ω |
0.091203075117841 |
Real period |
R |
5.8574874313267 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12090s1 |
Quadratic twists by: 5 |