Atkin-Lehner |
2+ 3+ 7+ 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
29274a |
Isogeny class |
Conductor |
29274 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
572597977236768 = 25 · 32 · 72 · 176 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ -4 4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-79460,8511024] |
[a1,a2,a3,a4,a6] |
Generators |
[185:338:1] |
Generators of the group modulo torsion |
j |
55485299447889207625/572597977236768 |
j-invariant |
L |
3.0625776038842 |
L(r)(E,1)/r! |
Ω |
0.51958500834375 |
Real period |
R |
1.4735690766207 |
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 |
87822bi2 |
Quadratic twists by: -3 |