Atkin-Lehner |
3- 5+ 7+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
118755c |
Isogeny class |
Conductor |
118755 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
700345513716255225 = 314 · 52 · 72 · 132 · 294 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ -4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-243180,22629051] |
[a1,a2,a3,a4,a6] |
Generators |
[490:4331:1] |
Generators of the group modulo torsion |
j |
2181628260465151681/960693434453025 |
j-invariant |
L |
5.3181242053118 |
L(r)(E,1)/r! |
Ω |
0.25740225153985 |
Real period |
R |
5.165188051763 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000129199 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
39585k2 |
Quadratic twists by: -3 |