Atkin-Lehner |
2+ 3+ 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
45450b |
Isogeny class |
Conductor |
45450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1612800 |
Modular degree for the optimal curve |
Δ |
-1.017847296E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 -3 0 7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,938208,-336784384] |
[a1,a2,a3,a4,a6] |
Generators |
[57920:1726688:125] |
Generators of the group modulo torsion |
j |
296967914223813/330956800000 |
j-invariant |
L |
4.2503202910787 |
L(r)(E,1)/r! |
Ω |
0.10192650033872 |
Real period |
R |
5.212481882722 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45450bn1 9090n1 |
Quadratic twists by: -3 5 |