Atkin-Lehner |
2- 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
44400ch |
Isogeny class |
Conductor |
44400 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-70022707200000000 = -1 · 217 · 33 · 58 · 373 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -3 7 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,50592,11971188] |
[a1,a2,a3,a4,a6] |
Generators |
[-102:2400:1] |
Generators of the group modulo torsion |
j |
223759095911/1094104800 |
j-invariant |
L |
7.6386108416868 |
L(r)(E,1)/r! |
Ω |
0.24902944486437 |
Real period |
R |
1.2780635314428 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5550v1 8880o1 |
Quadratic twists by: -4 5 |