Atkin-Lehner |
2+ 5+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
3010a |
Isogeny class |
Conductor |
3010 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
14080 |
Modular degree for the optimal curve |
Δ |
-1700500998980000 = -1 · 25 · 54 · 711 · 43 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7+ -3 -2 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-63234,6428532] |
[a1,a2,a3,a4,a6] |
j |
-27961843710799634329/1700500998980000 |
j-invariant |
L |
0.93120802400706 |
L(r)(E,1)/r! |
Ω |
0.46560401200353 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24080j1 96320o1 27090bo1 15050v1 |
Quadratic twists by: -4 8 -3 5 |