Atkin-Lehner |
2+ 3+ 19- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
53808d |
Isogeny class |
Conductor |
53808 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
63488 |
Modular degree for the optimal curve |
Δ |
-141722523648 = -1 · 211 · 32 · 194 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -3 -5 -5 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-208,-18080] |
[a1,a2,a3,a4,a6] |
Generators |
[34:114:1] [53:342:1] |
Generators of the group modulo torsion |
j |
-488281250/69200451 |
j-invariant |
L |
7.1935370936251 |
L(r)(E,1)/r! |
Ω |
0.45923052526126 |
Real period |
R |
0.97902043444487 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26904d1 |
Quadratic twists by: -4 |