Atkin-Lehner |
2- 5- 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
60200r |
Isogeny class |
Conductor |
60200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-2529453500000000 = -1 · 28 · 59 · 76 · 43 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 0 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-55375,-5568750] |
[a1,a2,a3,a4,a6] |
Generators |
[580725:15564250:729] |
Generators of the group modulo torsion |
j |
-37557348624/5058907 |
j-invariant |
L |
4.9145185677523 |
L(r)(E,1)/r! |
Ω |
0.15445327417914 |
Real period |
R |
7.9547011772215 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999963 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120400s1 60200h1 |
Quadratic twists by: -4 5 |