Atkin-Lehner |
2- 5- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
20300m |
Isogeny class |
Conductor |
20300 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-2030000 = -1 · 24 · 54 · 7 · 29 |
Discriminant |
Eigenvalues |
2- 1 5- 7+ -4 4 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33,-112] |
[a1,a2,a3,a4,a6] |
Generators |
[7:7:1] |
Generators of the group modulo torsion |
j |
-409600/203 |
j-invariant |
L |
5.6145330980489 |
L(r)(E,1)/r! |
Ω |
0.97061002885733 |
Real period |
R |
1.9281801929105 |
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 |
81200ci1 20300f1 |
Quadratic twists by: -4 5 |