Atkin-Lehner |
2+ 3+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
90048n |
Isogeny class |
Conductor |
90048 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-667225423872 = -1 · 218 · 34 · 7 · 672 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 4 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-673,-39647] |
[a1,a2,a3,a4,a6] |
Generators |
[1609:64512:1] |
Generators of the group modulo torsion |
j |
-128787625/2545263 |
j-invariant |
L |
6.6090376346967 |
L(r)(E,1)/r! |
Ω |
0.39161507948283 |
Real period |
R |
4.2190903655473 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989417 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90048bm1 1407e1 |
Quadratic twists by: -4 8 |