Atkin-Lehner |
2+ 5+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
29050f |
Isogeny class |
Conductor |
29050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
28224 |
Modular degree for the optimal curve |
Δ |
-1665843200 = -1 · 214 · 52 · 72 · 83 |
Discriminant |
Eigenvalues |
2+ -3 5+ 7- -4 -4 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-82,-1964] |
[a1,a2,a3,a4,a6] |
Generators |
[15:-4:1] [20:54:1] |
Generators of the group modulo torsion |
j |
-2455845345/66633728 |
j-invariant |
L |
3.9001022206118 |
L(r)(E,1)/r! |
Ω |
0.64938778230586 |
Real period |
R |
1.5014534946908 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29050q1 |
Quadratic twists by: 5 |