Atkin-Lehner |
2- 3+ 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
59850du |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
136173570356250000 = 24 · 33 · 58 · 76 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-233630,39731997] |
[a1,a2,a3,a4,a6] |
Generators |
[-477:6755:1] |
Generators of the group modulo torsion |
j |
3342904779518667/322781796400 |
j-invariant |
L |
9.6552727534745 |
L(r)(E,1)/r! |
Ω |
0.31884483162933 |
Real period |
R |
1.2617517722744 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000148 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59850g3 11970e1 |
Quadratic twists by: -3 5 |