Atkin-Lehner |
7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
10829c |
Isogeny class |
Conductor |
10829 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
74699232517 = 76 · 133 · 172 |
Discriminant |
Eigenvalues |
-1 0 -4 7- 6 13- 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-574167,-167314150] |
[a1,a2,a3,a4,a6] |
Generators |
[4769:322485:1] |
Generators of the group modulo torsion |
j |
177930109857804849/634933 |
j-invariant |
L |
1.8133434769527 |
L(r)(E,1)/r! |
Ω |
0.17343632273214 |
Real period |
R |
3.4851282368598 |
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 |
97461w2 221a2 |
Quadratic twists by: -3 -7 |