Atkin-Lehner |
2+ 3- 5+ 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
120450x |
Isogeny class |
Conductor |
120450 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
507477772622700 = 22 · 34 · 52 · 115 · 733 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11+ -5 -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-41566,-3079852] |
[a1,a2,a3,a4,a6] |
Generators |
[-137:287:1] |
Generators of the group modulo torsion |
j |
317675252468506945/20299110904908 |
j-invariant |
L |
6.773081270644 |
L(r)(E,1)/r! |
Ω |
0.33570133585997 |
Real period |
R |
0.84066308034785 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018753 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120450bp1 |
Quadratic twists by: 5 |