Atkin-Lehner |
2+ 3- 5+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
44520h |
Isogeny class |
Conductor |
44520 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
238464 |
Modular degree for the optimal curve |
Δ |
-65429441280 = -1 · 28 · 39 · 5 · 72 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 2 0 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-638041,195952235] |
[a1,a2,a3,a4,a6] |
Generators |
[491:1134:1] |
Generators of the group modulo torsion |
j |
-112209645049646377984/255583755 |
j-invariant |
L |
7.4397049767449 |
L(r)(E,1)/r! |
Ω |
0.72072453072653 |
Real period |
R |
0.14336855675519 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999806 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89040a1 |
Quadratic twists by: -4 |