Atkin-Lehner |
2- 3- 5- 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
105450cu |
Isogeny class |
Conductor |
105450 |
Conductor |
∏ cp |
3168 |
Product of Tamagawa factors cp |
deg |
4460544 |
Modular degree for the optimal curve |
Δ |
-6.8133076694508E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -5 -4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1441188,775237392] |
[a1,a2,a3,a4,a6] |
Generators |
[-1368:14364:1] [-684:-37620:1] |
Generators of the group modulo torsion |
j |
-529670304892259811025/109012922711212032 |
j-invariant |
L |
18.349479366416 |
L(r)(E,1)/r! |
Ω |
0.18707398194752 |
Real period |
R |
0.030961727432782 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999248 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105450h1 |
Quadratic twists by: 5 |