Atkin-Lehner |
2+ 3+ 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
90048c |
Isogeny class |
Conductor |
90048 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
-1320872143142780928 = -1 · 218 · 36 · 73 · 674 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 4 -2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,237631,-32784447] |
[a1,a2,a3,a4,a6] |
Generators |
[25667:4112748:1] |
Generators of the group modulo torsion |
j |
5660975162375567/5038727352687 |
j-invariant |
L |
4.6637785441293 |
L(r)(E,1)/r! |
Ω |
0.149082359177 |
Real period |
R |
7.8208088782856 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999810033 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90048cb1 1407c1 |
Quadratic twists by: -4 8 |