Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
58080bu |
Isogeny class |
Conductor |
58080 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1013760 |
Modular degree for the optimal curve |
Δ |
-2004976126164369600 = -1 · 26 · 312 · 52 · 119 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11+ 0 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-279066,-88754580] |
[a1,a2,a3,a4,a6] |
Generators |
[1617:60750:1] |
Generators of the group modulo torsion |
j |
-15926924096/13286025 |
j-invariant |
L |
8.5902032653461 |
L(r)(E,1)/r! |
Ω |
0.10031503122126 |
Real period |
R |
3.5680110118413 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000152 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58080bf1 116160gf2 58080p1 |
Quadratic twists by: -4 8 -11 |