Atkin-Lehner |
2+ 3- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
45120bc |
Isogeny class |
Conductor |
45120 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-202909784113152000 = -1 · 218 · 33 · 53 · 475 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -5 -6 -3 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7681,21671519] |
[a1,a2,a3,a4,a6] |
Generators |
[-133:4512:1] |
Generators of the group modulo torsion |
j |
-191202526081/774039398625 |
j-invariant |
L |
3.5751124144945 |
L(r)(E,1)/r! |
Ω |
0.25447797786674 |
Real period |
R |
0.23414681068919 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000019 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45120bu1 705b1 |
Quadratic twists by: -4 8 |