Atkin-Lehner |
3+ 5+ 31- 43- |
Signs for the Atkin-Lehner involutions |
Class |
59985b |
Isogeny class |
Conductor |
59985 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
57344 |
Modular degree for the optimal curve |
Δ |
435828515625 = 33 · 58 · 312 · 43 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 -6 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1958,-9644] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:155:1] |
Generators of the group modulo torsion |
j |
30731945295267/16141796875 |
j-invariant |
L |
2.6002741049944 |
L(r)(E,1)/r! |
Ω |
0.7609827813603 |
Real period |
R |
1.7084973330966 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000082 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59985d1 |
Quadratic twists by: -3 |