Atkin-Lehner |
2+ 29+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
68962c |
Isogeny class |
Conductor |
68962 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
725760 |
Modular degree for the optimal curve |
Δ |
328161646902416 = 24 · 298 · 41 |
Discriminant |
Eigenvalues |
2+ -2 2 2 -2 -2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-603015,180182906] |
[a1,a2,a3,a4,a6] |
Generators |
[222:7456:1] |
Generators of the group modulo torsion |
j |
40767965189713/551696 |
j-invariant |
L |
2.9369153755896 |
L(r)(E,1)/r! |
Ω |
0.49402857775284 |
Real period |
R |
5.9448289156151 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000485 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2378d1 |
Quadratic twists by: 29 |