Atkin-Lehner |
2- 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
115150br |
Isogeny class |
Conductor |
115150 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
Δ |
2274008108750000000 = 27 · 510 · 77 · 472 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 4 -6 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5823880,5410588747] |
[a1,a2,a3,a4,a6] |
Generators |
[289:61105:1] |
Generators of the group modulo torsion |
j |
11883725994404601/1237040000 |
j-invariant |
L |
10.811896828395 |
L(r)(E,1)/r! |
Ω |
0.24868416126396 |
Real period |
R |
0.77636462935575 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999759154 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23030e2 16450p2 |
Quadratic twists by: 5 -7 |