Atkin-Lehner |
2+ 23+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
3634a |
Isogeny class |
Conductor |
3634 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
484385480113651712 = 219 · 236 · 792 |
Discriminant |
Eigenvalues |
2+ 2 -4 0 -2 2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2816227,1817589645] |
[a1,a2,a3,a4,a6] |
Generators |
[-341649:67034805:1331] |
Generators of the group modulo torsion |
j |
2470170476556066238923961/484385480113651712 |
j-invariant |
L |
2.8588818023563 |
L(r)(E,1)/r! |
Ω |
0.28647217662407 |
Real period |
R |
9.9796142021425 |
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 |
29072o2 116288g2 32706g2 90850n2 |
Quadratic twists by: -4 8 -3 5 |