Atkin-Lehner |
2+ 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
6440a |
Isogeny class |
Conductor |
6440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3584 |
Modular degree for the optimal curve |
Δ |
-552230000 = -1 · 24 · 54 · 74 · 23 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7+ 2 -1 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3276,-71099] |
[a1,a2,a3,a4,a6] |
Generators |
[126:1225:1] |
Generators of the group modulo torsion |
j |
-243090490825984/34514375 |
j-invariant |
L |
2.9410610741362 |
L(r)(E,1)/r! |
Ω |
0.31551414893955 |
Real period |
R |
1.1651858894527 |
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 |
12880e1 51520s1 57960bx1 32200x1 |
Quadratic twists by: -4 8 -3 5 |