Atkin-Lehner |
2- 5- 31- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
58280f |
Isogeny class |
Conductor |
58280 |
Conductor |
∏ cp |
100 |
Product of Tamagawa factors cp |
deg |
432000 |
Modular degree for the optimal curve |
Δ |
-50593435647200000 = -1 · 28 · 55 · 315 · 472 |
Discriminant |
Eigenvalues |
2- 1 5- -2 -4 -2 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-65505,12578003] |
[a1,a2,a3,a4,a6] |
Generators |
[-299:2350:1] [-59:4030:1] |
Generators of the group modulo torsion |
j |
-121426570622657536/197630607996875 |
j-invariant |
L |
11.22419412851 |
L(r)(E,1)/r! |
Ω |
0.31915160521076 |
Real period |
R |
0.35168847485808 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116560f1 |
Quadratic twists by: -4 |