Atkin-Lehner |
2- 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
107100ck |
Isogeny class |
Conductor |
107100 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1044480 |
Modular degree for the optimal curve |
Δ |
-284586655500000000 = -1 · 28 · 314 · 59 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -1 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,33000,25562500] |
[a1,a2,a3,a4,a6] |
Generators |
[125:5625:1] |
Generators of the group modulo torsion |
j |
10903552/780759 |
j-invariant |
L |
7.6034800451208 |
L(r)(E,1)/r! |
Ω |
0.23541315791955 |
Real period |
R |
2.6915374782902 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999947964 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35700bw1 107100cg1 |
Quadratic twists by: -3 5 |