Atkin-Lehner |
2- 3+ 5+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
115440bk |
Isogeny class |
Conductor |
115440 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
9743747266805760 = 215 · 32 · 5 · 136 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 2 13- -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-57816,-2445840] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:338:1] |
Generators of the group modulo torsion |
j |
5218136084437849/2378844547560 |
j-invariant |
L |
5.0904999962701 |
L(r)(E,1)/r! |
Ω |
0.32146323651789 |
Real period |
R |
1.3196169312178 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000078957 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14430s2 |
Quadratic twists by: -4 |