Atkin-Lehner |
2- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
81200br |
Isogeny class |
Conductor |
81200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-4.02431640625E+19 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- -6 -2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3769508,-2834667512] |
[a1,a2,a3,a4,a6] |
Generators |
[6408103314:302894921875:1815848] |
Generators of the group modulo torsion |
j |
-1480873099339005136/10060791015625 |
j-invariant |
L |
2.5160022977119 |
L(r)(E,1)/r! |
Ω |
0.054152948423543 |
Real period |
R |
11.615259975048 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001163 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20300c2 16240r2 |
Quadratic twists by: -4 5 |