Atkin-Lehner |
2+ 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
6440d |
Isogeny class |
Conductor |
6440 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
-281750000 = -1 · 24 · 56 · 72 · 23 |
Discriminant |
Eigenvalues |
2+ -1 5- 7+ -2 3 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,160,-275] |
[a1,a2,a3,a4,a6] |
Generators |
[30:-175:1] |
Generators of the group modulo torsion |
j |
28134973184/17609375 |
j-invariant |
L |
3.3231851688274 |
L(r)(E,1)/r! |
Ω |
0.99929017988059 |
Real period |
R |
0.13856440450329 |
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 |
12880h1 51520h1 57960bm1 32200s1 |
Quadratic twists by: -4 8 -3 5 |