Atkin-Lehner |
2- 29+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
62234j |
Isogeny class |
Conductor |
62234 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
282240 |
Modular degree for the optimal curve |
Δ |
-1511365162689344 = -1 · 26 · 297 · 372 |
Discriminant |
Eigenvalues |
2- 1 -1 -4 3 -3 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1244,-1870256] |
[a1,a2,a3,a4,a6] |
Generators |
[360:6548:1] |
Generators of the group modulo torsion |
j |
357911/2540864 |
j-invariant |
L |
8.9306082069705 |
L(r)(E,1)/r! |
Ω |
0.22063493952408 |
Real period |
R |
0.8432677891265 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993921 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2146a1 |
Quadratic twists by: 29 |