Atkin-Lehner |
2+ 3+ 5- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
96720k |
Isogeny class |
Conductor |
96720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3319356119040 = 211 · 33 · 5 · 13 · 314 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 -4 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-75200,-7911840] |
[a1,a2,a3,a4,a6] |
Generators |
[-158:22:1] |
Generators of the group modulo torsion |
j |
22964291805513602/1620779355 |
j-invariant |
L |
3.1595369020014 |
L(r)(E,1)/r! |
Ω |
0.28830120158668 |
Real period |
R |
2.7397881745378 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000034032 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48360z4 |
Quadratic twists by: -4 |