Atkin-Lehner |
2+ 3- 5- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
45990bc |
Isogeny class |
Conductor |
45990 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
-8628339791728125000 = -1 · 23 · 38 · 58 · 78 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-29079,141346053] |
[a1,a2,a3,a4,a6] |
Generators |
[117:-11871:1] |
Generators of the group modulo torsion |
j |
-3730293358969969/11835857053125000 |
j-invariant |
L |
4.2207005693151 |
L(r)(E,1)/r! |
Ω |
0.18633721100979 |
Real period |
R |
0.35391989629008 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999971 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15330z4 |
Quadratic twists by: -3 |