Atkin-Lehner |
2+ 3+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
6432a |
Isogeny class |
Conductor |
6432 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
800 |
Modular degree for the optimal curve |
Δ |
-861888 = -1 · 26 · 3 · 672 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 0 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18,60] |
[a1,a2,a3,a4,a6] |
Generators |
[4:6:1] |
Generators of the group modulo torsion |
j |
-10648000/13467 |
j-invariant |
L |
3.5626342527977 |
L(r)(E,1)/r! |
Ω |
2.5405531015608 |
Real period |
R |
1.4023065491562 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6432g1 12864bk2 19296l1 |
Quadratic twists by: -4 8 -3 |