Atkin-Lehner |
2- 3- 5- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
90300bw |
Isogeny class |
Conductor |
90300 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
1459200 |
Modular degree for the optimal curve |
Δ |
1882387676531250000 = 24 · 35 · 59 · 78 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 6 4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-335333,34944588] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:6375:1] |
Generators of the group modulo torsion |
j |
133445480087552/60236405649 |
j-invariant |
L |
9.4737468247575 |
L(r)(E,1)/r! |
Ω |
0.23640175498003 |
Real period |
R |
2.671651579209 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999994147 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90300y1 |
Quadratic twists by: 5 |