Atkin-Lehner |
2- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
3440c |
Isogeny class |
Conductor |
3440 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
-7045120 = -1 · 215 · 5 · 43 |
Discriminant |
Eigenvalues |
2- 0 5+ -1 4 -1 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-323,-2238] |
[a1,a2,a3,a4,a6] |
Generators |
[23:50:1] |
Generators of the group modulo torsion |
j |
-909853209/1720 |
j-invariant |
L |
3.1695569086059 |
L(r)(E,1)/r! |
Ω |
0.56301469129024 |
Real period |
R |
2.8148083501536 |
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 |
430a1 13760p1 30960by1 17200i1 |
Quadratic twists by: -4 8 -3 5 |