Atkin-Lehner |
2- 3+ 5+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
99120br |
Isogeny class |
Conductor |
99120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
29952 |
Modular degree for the optimal curve |
Δ |
263163600 = 24 · 33 · 52 · 7 · 592 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-161,-60] |
[a1,a2,a3,a4,a6] |
j |
29025255424/16447725 |
j-invariant |
L |
1.4453833337617 |
L(r)(E,1)/r! |
Ω |
1.445383388281 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24780h1 |
Quadratic twists by: -4 |