Atkin-Lehner |
2+ 3+ 5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
96330c |
Isogeny class |
Conductor |
96330 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
41156634526160400 = 24 · 310 · 52 · 136 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 0 13+ 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5201823,4564301877] |
[a1,a2,a3,a4,a6] |
Generators |
[1254:3261:1] |
Generators of the group modulo torsion |
j |
3225005357698077121/8526675600 |
j-invariant |
L |
2.8155384014161 |
L(r)(E,1)/r! |
Ω |
0.31424611488893 |
Real period |
R |
2.2399150535522 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999587149 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
570i2 |
Quadratic twists by: 13 |