Atkin-Lehner |
2+ 5- 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
102410r |
Isogeny class |
Conductor |
102410 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-540950102000 = -1 · 24 · 53 · 76 · 112 · 19 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 11+ -2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1706,22308] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:94:1] [102:1665:8] |
Generators of the group modulo torsion |
j |
4665834711/4598000 |
j-invariant |
L |
8.7843075252343 |
L(r)(E,1)/r! |
Ω |
0.60821334674085 |
Real period |
R |
2.4071343749787 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996243 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2090a1 |
Quadratic twists by: -7 |