Atkin-Lehner |
2- 3- 5- 61- |
Signs for the Atkin-Lehner involutions |
Class |
73200db |
Isogeny class |
Conductor |
73200 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
887040 |
Modular degree for the optimal curve |
Δ |
-520520935145472000 = -1 · 223 · 37 · 53 · 613 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 4 3 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-62488,35207828] |
[a1,a2,a3,a4,a6] |
Generators |
[188:-5490:1] |
Generators of the group modulo torsion |
j |
-52704849262157/1016642451456 |
j-invariant |
L |
9.3517717705361 |
L(r)(E,1)/r! |
Ω |
0.2467987191418 |
Real period |
R |
0.45109884159471 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000358 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9150g1 73200cc1 |
Quadratic twists by: -4 5 |