Atkin-Lehner |
2+ 3- 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
84270w |
Isogeny class |
Conductor |
84270 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1347840 |
Modular degree for the optimal curve |
Δ |
5286200129266500 = 22 · 32 · 53 · 537 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 4 4 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-382083,-90868694] |
[a1,a2,a3,a4,a6] |
Generators |
[1385:44442:1] |
Generators of the group modulo torsion |
j |
278317173889/238500 |
j-invariant |
L |
6.330155660212 |
L(r)(E,1)/r! |
Ω |
0.19203597906781 |
Real period |
R |
5.4938972841444 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999995356 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1590m1 |
Quadratic twists by: 53 |