Atkin-Lehner |
2- 3- 5- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
55650dn |
Isogeny class |
Conductor |
55650 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
190080 |
Modular degree for the optimal curve |
Δ |
-6232800000000 = -1 · 211 · 3 · 58 · 72 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -3 2 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-63263,-6130983] |
[a1,a2,a3,a4,a6] |
Generators |
[318:2277:1] |
Generators of the group modulo torsion |
j |
-71682551408785/15955968 |
j-invariant |
L |
12.096555959493 |
L(r)(E,1)/r! |
Ω |
0.15051378533826 |
Real period |
R |
3.6531102547657 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55650j1 |
Quadratic twists by: 5 |