Atkin-Lehner |
2- 3+ 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
70800bh |
Isogeny class |
Conductor |
70800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
-208797696000000000 = -1 · 226 · 33 · 59 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 2 -1 -7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13408,21997312] |
[a1,a2,a3,a4,a6] |
Generators |
[-78:4750:1] |
Generators of the group modulo torsion |
j |
-4165509529/3262464000 |
j-invariant |
L |
5.3306966920965 |
L(r)(E,1)/r! |
Ω |
0.25572600373039 |
Real period |
R |
2.6056680853218 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000074 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8850bc1 14160w1 |
Quadratic twists by: -4 5 |