Atkin-Lehner |
2- 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
120400bq |
Isogeny class |
Conductor |
120400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
168560000000000 = 213 · 510 · 72 · 43 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 4 -4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-182008,29819988] |
[a1,a2,a3,a4,a6] |
Generators |
[238:200:1] |
Generators of the group modulo torsion |
j |
10418796526321/2633750 |
j-invariant |
L |
5.3567495196537 |
L(r)(E,1)/r! |
Ω |
0.55882554277495 |
Real period |
R |
1.1982159760326 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999520405 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15050b2 24080o2 |
Quadratic twists by: -4 5 |