Atkin-Lehner |
2+ 3+ 5+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
49560c |
Isogeny class |
Conductor |
49560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-416304000000 = -1 · 210 · 32 · 56 · 72 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -2 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,384,30780] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:168:1] |
Generators of the group modulo torsion |
j |
6099383804/406546875 |
j-invariant |
L |
3.8640410431646 |
L(r)(E,1)/r! |
Ω |
0.72051080139522 |
Real period |
R |
1.3407297419034 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999782 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99120s2 |
Quadratic twists by: -4 |