Atkin-Lehner |
2+ 5- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
95680bb |
Isogeny class |
Conductor |
95680 |
Conductor |
∏ cp |
420 |
Product of Tamagawa factors cp |
deg |
4730880 |
Modular degree for the optimal curve |
Δ |
2.8960042129408E+20 |
Discriminant |
Eigenvalues |
2+ -3 5- 1 -2 13- -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1756972,-364880336] |
[a1,a2,a3,a4,a6] |
Generators |
[1798:47840:1] [-732:23000:1] |
Generators of the group modulo torsion |
j |
2288117440553811489/1104737935234375 |
j-invariant |
L |
7.7939213311873 |
L(r)(E,1)/r! |
Ω |
0.13761189654236 |
Real period |
R |
0.13484993680135 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999992434 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95680bw1 1495b1 |
Quadratic twists by: -4 8 |