Atkin-Lehner |
2- 3+ 7+ 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
126378y |
Isogeny class |
Conductor |
126378 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
1443742272 = 26 · 33 · 72 · 172 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ -4 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1010,12465] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:111:1] [11:45:1] |
Generators of the group modulo torsion |
j |
4216196923875/53471936 |
j-invariant |
L |
17.026728323506 |
L(r)(E,1)/r! |
Ω |
1.51973248413 |
Real period |
R |
0.93364723159806 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002687 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126378c1 |
Quadratic twists by: -3 |