Atkin-Lehner |
2+ 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
91200p |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-174626316288000000 = -1 · 219 · 310 · 56 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 -4 0 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-136833,-27950463] |
[a1,a2,a3,a4,a6] |
Generators |
[1697:68000:1] |
Generators of the group modulo torsion |
j |
-69173457625/42633378 |
j-invariant |
L |
3.574849880464 |
L(r)(E,1)/r! |
Ω |
0.1207313428124 |
Real period |
R |
3.7012446417404 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999862028 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91200il2 2850ba2 3648j2 |
Quadratic twists by: -4 8 5 |