Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
123200hp |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
48000 |
Modular degree for the optimal curve |
Δ |
1925000000 = 26 · 58 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 11- 3 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-500,3750] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:25:1] |
Generators of the group modulo torsion |
j |
552960/77 |
j-invariant |
L |
6.3309107344687 |
L(r)(E,1)/r! |
Ω |
1.4214374561094 |
Real period |
R |
1.4846263960177 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000049888 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123200cm1 30800cr1 123200ek1 |
Quadratic twists by: -4 8 5 |