Atkin-Lehner |
2- 7+ 17- 61- |
Signs for the Atkin-Lehner involutions |
Class |
29036c |
Isogeny class |
Conductor |
29036 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
41616 |
Modular degree for the optimal curve |
Δ |
537049856 = 28 · 7 · 173 · 61 |
Discriminant |
Eigenvalues |
2- 2 3 7+ -2 0 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12444,538472] |
[a1,a2,a3,a4,a6] |
j |
832527625680592/2097851 |
j-invariant |
L |
4.2730965394397 |
L(r)(E,1)/r! |
Ω |
1.424365513147 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116144w1 |
Quadratic twists by: -4 |