Atkin-Lehner |
2+ 7+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
27664a |
Isogeny class |
Conductor |
27664 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-25236401008 = -1 · 24 · 72 · 13 · 195 |
Discriminant |
Eigenvalues |
2+ -2 -2 7+ 0 13+ 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-62564,-6044213] |
[a1,a2,a3,a4,a6] |
Generators |
[22564:254765:64] |
Generators of the group modulo torsion |
j |
-1692716365696398592/1577275063 |
j-invariant |
L |
2.4176174546875 |
L(r)(E,1)/r! |
Ω |
0.15093425985874 |
Real period |
R |
8.0088425813666 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13832e1 110656bg1 |
Quadratic twists by: -4 8 |