Atkin-Lehner |
2- 3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
124950fi |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
448 |
Product of Tamagawa factors cp |
deg |
8257536 |
Modular degree for the optimal curve |
Δ |
-1.1522355875735E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -6 0 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4084788,-3574446219] |
[a1,a2,a3,a4,a6] |
Generators |
[4605:-276703:1] |
Generators of the group modulo torsion |
j |
-4100379159705193/626805817344 |
j-invariant |
L |
7.5158284594362 |
L(r)(E,1)/r! |
Ω |
0.052654001863809 |
Real period |
R |
1.2744636445439 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019342 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4998w1 17850cf1 |
Quadratic twists by: 5 -7 |