Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
91200dx |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
Δ |
-22284891000000 = -1 · 26 · 32 · 56 · 195 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 3 -6 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-439033,-112114687] |
[a1,a2,a3,a4,a6] |
Generators |
[1832:72357:1] |
Generators of the group modulo torsion |
j |
-9358714467168256/22284891 |
j-invariant |
L |
6.6339584085109 |
L(r)(E,1)/r! |
Ω |
0.092735308958502 |
Real period |
R |
7.15364890077 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999978524 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91200fi2 1425b2 3648f2 |
Quadratic twists by: -4 8 5 |