Atkin-Lehner |
2+ 3- 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
60384p |
Isogeny class |
Conductor |
60384 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30224640 |
Modular degree for the optimal curve |
Δ |
-1.3916060694803E+28 |
Discriminant |
Eigenvalues |
2+ 3- -1 -4 -3 1 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,225630259,5523786180123] |
[a1,a2,a3,a4,a6] |
Generators |
[-626257714491940203304694067:15431638147959082428239108076:46801083101869909172933] |
Generators of the group modulo torsion |
j |
310138575648199670005208576/3397475755567185090474939 |
j-invariant |
L |
5.1399190632958 |
L(r)(E,1)/r! |
Ω |
0.029208252188459 |
Real period |
R |
43.99372333315 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60384d1 120768cb1 |
Quadratic twists by: -4 8 |