Atkin-Lehner |
2+ 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
91200d |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
43776000000000000 = 220 · 32 · 512 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 2 0 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-636033,195191937] |
[a1,a2,a3,a4,a6] |
Generators |
[3306:13275:8] |
Generators of the group modulo torsion |
j |
6947097508441/10687500 |
j-invariant |
L |
6.8561724947275 |
L(r)(E,1)/r! |
Ω |
0.36013327066212 |
Real period |
R |
4.7594689621002 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985175 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91200if2 2850y2 18240bc2 |
Quadratic twists by: -4 8 5 |