Atkin-Lehner |
2+ 7- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
53872b |
Isogeny class |
Conductor |
53872 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
22528 |
Modular degree for the optimal curve |
Δ |
-1658395648 = -1 · 210 · 7 · 132 · 372 |
Discriminant |
Eigenvalues |
2+ 2 -2 7- 0 13+ 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,296,0] |
[a1,a2,a3,a4,a6] |
Generators |
[72:624:1] |
Generators of the group modulo torsion |
j |
2791456412/1619527 |
j-invariant |
L |
7.4455211513946 |
L(r)(E,1)/r! |
Ω |
0.90002565925302 |
Real period |
R |
2.0681413565288 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000056 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26936a1 |
Quadratic twists by: -4 |