Atkin-Lehner |
2+ 3+ 5- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
99120l |
Isogeny class |
Conductor |
99120 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
-1959109971840000 = -1 · 210 · 32 · 54 · 78 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 4 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8680,2155072] |
[a1,a2,a3,a4,a6] |
Generators |
[-116:1260:1] |
Generators of the group modulo torsion |
j |
-70637116747684/1913193331875 |
j-invariant |
L |
5.9820129954869 |
L(r)(E,1)/r! |
Ω |
0.39065954175799 |
Real period |
R |
0.957037450797 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006535 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
49560bh3 |
Quadratic twists by: -4 |