Atkin-Lehner |
2+ 5+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
29050d |
Isogeny class |
Conductor |
29050 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
264960 |
Modular degree for the optimal curve |
Δ |
-18690565742187500 = -1 · 22 · 510 · 78 · 83 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- 4 -6 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-102826,-14302952] |
[a1,a2,a3,a4,a6] |
j |
-12311938081825/1913913932 |
j-invariant |
L |
2.114764060631 |
L(r)(E,1)/r! |
Ω |
0.13217275378951 |
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 |
29050p1 |
Quadratic twists by: 5 |