Atkin-Lehner |
2+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
53200t |
Isogeny class |
Conductor |
53200 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
15056876800 = 28 · 52 · 73 · 193 |
Discriminant |
Eigenvalues |
2+ -3 5+ 7- -1 5 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-30775,2077990] |
[a1,a2,a3,a4,a6] |
Generators |
[69:532:1] |
Generators of the group modulo torsion |
j |
503660535570000/2352637 |
j-invariant |
L |
3.6975563322142 |
L(r)(E,1)/r! |
Ω |
1.1004271538827 |
Real period |
R |
0.18667278021358 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998208 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26600v1 53200y1 |
Quadratic twists by: -4 5 |