Atkin-Lehner |
2- 3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
49200cu |
Isogeny class |
Conductor |
49200 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
1036800 |
Modular degree for the optimal curve |
Δ |
-6024245114880000000 = -1 · 217 · 315 · 57 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -6 4 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,48592,-118000812] |
[a1,a2,a3,a4,a6] |
Generators |
[1618:64800:1] |
Generators of the group modulo torsion |
j |
198257271191/94128829920 |
j-invariant |
L |
6.5380798063408 |
L(r)(E,1)/r! |
Ω |
0.11191770927275 |
Real period |
R |
0.48682195820734 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999874 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6150t1 9840k1 |
Quadratic twists by: -4 5 |