Atkin-Lehner |
2+ 3+ 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
64350f |
Isogeny class |
Conductor |
64350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-851437372500000 = -1 · 25 · 39 · 57 · 113 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 11+ 13+ -8 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-42,-1403884] |
[a1,a2,a3,a4,a6] |
Generators |
[439:8893:1] |
Generators of the group modulo torsion |
j |
-27/2768480 |
j-invariant |
L |
2.7364256008456 |
L(r)(E,1)/r! |
Ω |
0.22943490240772 |
Real period |
R |
2.9817015333917 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983735 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64350db1 12870bk1 |
Quadratic twists by: -3 5 |