Atkin-Lehner |
2- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
19600df |
Isogeny class |
Conductor |
19600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-92236816000000000 = -1 · 213 · 59 · 78 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ -3 -5 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-42875,15006250] |
[a1,a2,a3,a4,a6] |
Generators |
[-150:4250:1] |
Generators of the group modulo torsion |
j |
-189/2 |
j-invariant |
L |
4.2167877777585 |
L(r)(E,1)/r! |
Ω |
0.28852828793111 |
Real period |
R |
3.6537039470158 |
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 |
2450bb1 78400ji1 19600de1 19600do1 |
Quadratic twists by: -4 8 5 -7 |