Atkin-Lehner |
2+ 3+ 5- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
9690h |
Isogeny class |
Conductor |
9690 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
54084153600 = 28 · 34 · 52 · 172 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 0 2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1062,6804] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:151:1] |
Generators of the group modulo torsion |
j |
132658803153001/54084153600 |
j-invariant |
L |
3.0211828934923 |
L(r)(E,1)/r! |
Ω |
1.0153380979991 |
Real period |
R |
1.4877718562152 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
77520cu2 29070ba2 48450bm2 |
Quadratic twists by: -4 -3 5 |