Atkin-Lehner |
2+ 5+ 19+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
10070a |
Isogeny class |
Conductor |
10070 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1120 |
Modular degree for the optimal curve |
Δ |
-805600 = -1 · 25 · 52 · 19 · 53 |
Discriminant |
Eigenvalues |
2+ 0 5+ -1 -2 1 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,10,-44] |
[a1,a2,a3,a4,a6] |
Generators |
[3:1:1] |
Generators of the group modulo torsion |
j |
104487111/805600 |
j-invariant |
L |
2.5712919166228 |
L(r)(E,1)/r! |
Ω |
1.4046843617332 |
Real period |
R |
0.91525611969158 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80560i1 90630cd1 50350h1 |
Quadratic twists by: -4 -3 5 |