Atkin-Lehner |
2+ 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
16240f |
Isogeny class |
Conductor |
16240 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-2623397907200 = -1 · 28 · 52 · 75 · 293 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- -2 0 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1281,-79475] |
[a1,a2,a3,a4,a6] |
Generators |
[108:1015:1] |
Generators of the group modulo torsion |
j |
-908803769344/10247648075 |
j-invariant |
L |
3.325840684293 |
L(r)(E,1)/r! |
Ω |
0.3448342900385 |
Real period |
R |
0.32149168265929 |
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 |
8120g1 64960bx1 81200g1 113680o1 |
Quadratic twists by: -4 8 5 -7 |