Atkin-Lehner |
2- 3+ 7- 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
29274bc |
Isogeny class |
Conductor |
29274 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
8401638 = 2 · 3 · 72 · 17 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -4 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-538,4577] |
[a1,a2,a3,a4,a6] |
Generators |
[110:-21:8] |
Generators of the group modulo torsion |
j |
17223483390625/8401638 |
j-invariant |
L |
7.0874666675943 |
L(r)(E,1)/r! |
Ω |
2.2929138636947 |
Real period |
R |
3.0910304917316 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87822r2 |
Quadratic twists by: -3 |