Atkin-Lehner |
2+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
29008h |
Isogeny class |
Conductor |
29008 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
14336 |
Modular degree for the optimal curve |
Δ |
-480836608 = -1 · 210 · 73 · 372 |
Discriminant |
Eigenvalues |
2+ -2 0 7- 4 4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-688,-7260] |
[a1,a2,a3,a4,a6] |
j |
-102689500/1369 |
j-invariant |
L |
1.8626675916471 |
L(r)(E,1)/r! |
Ω |
0.46566689791199 |
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 |
14504d1 116032bn1 29008f1 |
Quadratic twists by: -4 8 -7 |