Atkin-Lehner |
2+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
10478d |
Isogeny class |
Conductor |
10478 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
30576 |
Modular degree for the optimal curve |
Δ |
-547022495656832 = -1 · 27 · 1310 · 31 |
Discriminant |
Eigenvalues |
2+ -1 2 0 1 13+ 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,13686,-935852] |
[a1,a2,a3,a4,a6] |
Generators |
[433371:2742148:6859] |
Generators of the group modulo torsion |
j |
2056223/3968 |
j-invariant |
L |
2.9703194326576 |
L(r)(E,1)/r! |
Ω |
0.27124574372229 |
Real period |
R |
10.950658218249 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83824y1 94302bz1 10478m1 |
Quadratic twists by: -4 -3 13 |