Atkin-Lehner |
2+ 3+ 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
10440b |
Isogeny class |
Conductor |
10440 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
3200 |
Modular degree for the optimal curve |
Δ |
-626400000 = -1 · 28 · 33 · 55 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 -3 0 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,108,1124] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:30:1] |
Generators of the group modulo torsion |
j |
20155392/90625 |
j-invariant |
L |
4.3355810439681 |
L(r)(E,1)/r! |
Ω |
1.1631026747102 |
Real period |
R |
0.09318998954775 |
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 |
20880e1 83520a1 10440m1 52200bm1 |
Quadratic twists by: -4 8 -3 5 |