Atkin-Lehner |
2+ 3+ 5+ 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
64890b |
Isogeny class |
Conductor |
64890 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
397440 |
Modular degree for the optimal curve |
Δ |
-510315724800000 = -1 · 223 · 33 · 55 · 7 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 6 -2 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-21315,-1612075] |
[a1,a2,a3,a4,a6] |
Generators |
[426503:6359183:1331] |
Generators of the group modulo torsion |
j |
-39666823140606507/18900582400000 |
j-invariant |
L |
3.9646824239041 |
L(r)(E,1)/r! |
Ω |
0.19315567208534 |
Real period |
R |
10.26292000879 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000485 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64890bv1 |
Quadratic twists by: -3 |