Atkin-Lehner |
2- 3+ 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
123210ch |
Isogeny class |
Conductor |
123210 |
Conductor |
∏ cp |
136 |
Product of Tamagawa factors cp |
deg |
79706880 |
Modular degree for the optimal curve |
Δ |
-1.1498182981934E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 5 -1 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5294223068,-148268055181793] |
[a1,a2,a3,a4,a6] |
Generators |
[3111959057:861963182497:24389] |
Generators of the group modulo torsion |
j |
-4676825213054616231/3276800 |
j-invariant |
L |
12.387888167732 |
L(r)(E,1)/r! |
Ω |
0.0088495054284787 |
Real period |
R |
10.292938259001 |
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 |
123210s1 123210r1 |
Quadratic twists by: -3 37 |