Atkin-Lehner |
2+ 3- 5- 19+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
90630ba |
Isogeny class |
Conductor |
90630 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-534495108758400 = -1 · 27 · 310 · 52 · 19 · 533 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 2 -1 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-45729,3936253] |
[a1,a2,a3,a4,a6] |
Generators |
[167:884:1] |
Generators of the group modulo torsion |
j |
-14506967529604369/733189449600 |
j-invariant |
L |
6.5323412719895 |
L(r)(E,1)/r! |
Ω |
0.51440842713823 |
Real period |
R |
3.1746861668568 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001513 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30210t1 |
Quadratic twists by: -3 |