Atkin-Lehner |
2- 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
18800bm |
Isogeny class |
Conductor |
18800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
1504000000000 = 214 · 59 · 47 |
Discriminant |
Eigenvalues |
2- -3 5- -3 5 1 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2875,6250] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:250:1] |
Generators of the group modulo torsion |
j |
328509/188 |
j-invariant |
L |
3.1374822056303 |
L(r)(E,1)/r! |
Ω |
0.72670995508238 |
Real period |
R |
1.079344717823 |
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 |
2350o1 75200do1 18800bt1 |
Quadratic twists by: -4 8 5 |