Atkin-Lehner |
2- 5- 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
123970bp |
Isogeny class |
Conductor |
123970 |
Conductor |
∏ cp |
63 |
Product of Tamagawa factors cp |
deg |
665280 |
Modular degree for the optimal curve |
Δ |
-7802767802368000 = -1 · 221 · 53 · 76 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 11+ 4 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,7463,-4244551] |
[a1,a2,a3,a4,a6] |
Generators |
[167:1196:1] |
Generators of the group modulo torsion |
j |
390778221231/66322432000 |
j-invariant |
L |
12.626144782802 |
L(r)(E,1)/r! |
Ω |
0.19639792194627 |
Real period |
R |
1.0204537557432 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999741627 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2530e1 |
Quadratic twists by: -7 |