Atkin-Lehner |
2- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74800bz |
Isogeny class |
Conductor |
74800 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
443520 |
Modular degree for the optimal curve |
Δ |
-18454257398579200 = -1 · 217 · 52 · 117 · 172 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 11- 1 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-73048,9998868] |
[a1,a2,a3,a4,a6] |
Generators |
[-116:4114:1] |
Generators of the group modulo torsion |
j |
-420973434058945/180217357408 |
j-invariant |
L |
4.1826696875977 |
L(r)(E,1)/r! |
Ω |
0.362732925149 |
Real period |
R |
0.4118210671602 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999961402 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9350c1 74800dl1 |
Quadratic twists by: -4 5 |