Atkin-Lehner |
2+ 3- 5+ 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
90630t |
Isogeny class |
Conductor |
90630 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-37220820652350 = -1 · 2 · 36 · 52 · 193 · 533 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 0 -1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-14625,745011] |
[a1,a2,a3,a4,a6] |
Generators |
[-77:1226:1] [-69:1227:1] |
Generators of the group modulo torsion |
j |
-474570252234001/51057367150 |
j-invariant |
L |
7.6946685596072 |
L(r)(E,1)/r! |
Ω |
0.63267610790975 |
Real period |
R |
3.0405243945479 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997641 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
10070e2 |
Quadratic twists by: -3 |