Atkin-Lehner |
2- 5- 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
124270x |
Isogeny class |
Conductor |
124270 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
6428160 |
Modular degree for the optimal curve |
Δ |
-5481724591073825000 = -1 · 23 · 55 · 179 · 432 |
Discriminant |
Eigenvalues |
2- 3 5- -4 4 -1 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,437058,17800309] |
[a1,a2,a3,a4,a6] |
Generators |
[-771:62507:27] |
Generators of the group modulo torsion |
j |
382514883121071/227103425000 |
j-invariant |
L |
19.762395418615 |
L(r)(E,1)/r! |
Ω |
0.14699829261189 |
Real period |
R |
2.2406604210315 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023142 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7310k1 |
Quadratic twists by: 17 |