Atkin-Lehner |
7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
10241f |
Isogeny class |
Conductor |
10241 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
57848146596317 = 79 · 11 · 194 |
Discriminant |
Eigenvalues |
-1 2 0 7- 11- 6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-17543,808744] |
[a1,a2,a3,a4,a6] |
Generators |
[2919:10309:27] |
Generators of the group modulo torsion |
j |
14796346375/1433531 |
j-invariant |
L |
4.2138114802601 |
L(r)(E,1)/r! |
Ω |
0.60886604748412 |
Real period |
R |
6.9207529269729 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92169n2 10241g2 112651m2 |
Quadratic twists by: -3 -7 -11 |