Atkin-Lehner |
2+ 3+ 19+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
53808b |
Isogeny class |
Conductor |
53808 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
79872 |
Modular degree for the optimal curve |
Δ |
-392583168 = -1 · 211 · 32 · 192 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ -2 1 3 1 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-78144,8434080] |
[a1,a2,a3,a4,a6] |
Generators |
[162:-6:1] |
Generators of the group modulo torsion |
j |
-25768327484921474/191691 |
j-invariant |
L |
4.9119009813671 |
L(r)(E,1)/r! |
Ω |
1.1645202042146 |
Real period |
R |
0.52724514392473 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999427 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26904f1 |
Quadratic twists by: -4 |