Atkin-Lehner |
2+ 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
16240c |
Isogeny class |
Conductor |
16240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
278516000000 = 28 · 56 · 74 · 29 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 0 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2196,-29680] |
[a1,a2,a3,a4,a6] |
j |
4576974631504/1087953125 |
j-invariant |
L |
2.8376101997643 |
L(r)(E,1)/r! |
Ω |
0.70940254994107 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8120b2 64960bz2 81200d2 113680j2 |
Quadratic twists by: -4 8 5 -7 |