Atkin-Lehner |
2- 3+ 5- 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
29610q |
Isogeny class |
Conductor |
29610 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
-14212800000 = -1 · 29 · 33 · 55 · 7 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 2 -7 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1202,17329] |
[a1,a2,a3,a4,a6] |
Generators |
[37:131:1] |
Generators of the group modulo torsion |
j |
-7107789850083/526400000 |
j-invariant |
L |
8.5646154630088 |
L(r)(E,1)/r! |
Ω |
1.2289519547678 |
Real period |
R |
0.077433778972597 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29610a1 |
Quadratic twists by: -3 |