Atkin-Lehner |
2- 3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
59850fl |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
-1163484000000 = -1 · 28 · 37 · 56 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,670,51297] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:225:1] |
Generators of the group modulo torsion |
j |
2924207/102144 |
j-invariant |
L |
10.233910558161 |
L(r)(E,1)/r! |
Ω |
0.6547937341251 |
Real period |
R |
0.48841289748974 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19950k1 2394f1 |
Quadratic twists by: -3 5 |