Atkin-Lehner |
2- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
1840g |
Isogeny class |
Conductor |
1840 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
144 |
Modular degree for the optimal curve |
Δ |
-29440 = -1 · 28 · 5 · 23 |
Discriminant |
Eigenvalues |
2- 0 5+ 1 -6 6 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8,12] |
[a1,a2,a3,a4,a6] |
Generators |
[2:2:1] |
Generators of the group modulo torsion |
j |
-221184/115 |
j-invariant |
L |
2.7772211002349 |
L(r)(E,1)/r! |
Ω |
3.466852672426 |
Real period |
R |
0.40053924447437 |
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 |
460a1 7360z1 16560bu1 9200r1 |
Quadratic twists by: -4 8 -3 5 |