Atkin-Lehner |
2- 3- 5- 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
90630ch |
Isogeny class |
Conductor |
90630 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
48000 |
Modular degree for the optimal curve |
Δ |
-3758607360 = -1 · 210 · 36 · 5 · 19 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -3 -3 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-572,-5889] |
[a1,a2,a3,a4,a6] |
Generators |
[29:21:1] |
Generators of the group modulo torsion |
j |
-28344726649/5155840 |
j-invariant |
L |
11.666882497123 |
L(r)(E,1)/r! |
Ω |
0.4834006208786 |
Real period |
R |
1.2067508796843 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006359 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10070c1 |
Quadratic twists by: -3 |