Atkin-Lehner |
2+ 3- 5+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
45450ba |
Isogeny class |
Conductor |
45450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-8628398437500000 = -1 · 25 · 37 · 513 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 2 1 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-57042,6904116] |
[a1,a2,a3,a4,a6] |
Generators |
[609:13758:1] |
Generators of the group modulo torsion |
j |
-1802041022809/757500000 |
j-invariant |
L |
4.378880014931 |
L(r)(E,1)/r! |
Ω |
0.38668394314289 |
Real period |
R |
0.70776148269628 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15150bk1 9090bc1 |
Quadratic twists by: -3 5 |