Atkin-Lehner |
2+ 3+ 5- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
9690h |
Isogeny class |
Conductor |
9690 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
-952565760 = -1 · 216 · 32 · 5 · 17 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 0 2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,218,916] |
[a1,a2,a3,a4,a6] |
Generators |
[5:44:1] |
Generators of the group modulo torsion |
j |
1137566234519/952565760 |
j-invariant |
L |
3.0211828934923 |
L(r)(E,1)/r! |
Ω |
1.0153380979991 |
Real period |
R |
2.9755437124304 |
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 |
77520cu1 29070ba1 48450bm1 |
Quadratic twists by: -4 -3 5 |