Atkin-Lehner |
3- 7+ 19- 73- |
Signs for the Atkin-Lehner involutions |
Class |
29127d |
Isogeny class |
Conductor |
29127 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13056 |
Modular degree for the optimal curve |
Δ |
11621673 = 32 · 72 · 192 · 73 |
Discriminant |
Eigenvalues |
1 3- 4 7+ -2 -4 8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-94,299] |
[a1,a2,a3,a4,a6] |
j |
90458382169/11621673 |
j-invariant |
L |
4.3639752508912 |
L(r)(E,1)/r! |
Ω |
2.1819876254456 |
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 |
87381e1 |
Quadratic twists by: -3 |