Atkin-Lehner |
2+ 7+ 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
72842h |
Isogeny class |
Conductor |
72842 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
798720 |
Modular degree for the optimal curve |
Δ |
-181826158381170688 = -1 · 216 · 7 · 118 · 432 |
Discriminant |
Eigenvalues |
2+ -2 -2 7+ 11- 0 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-80952,22342406] |
[a1,a2,a3,a4,a6] |
Generators |
[-119:5563:1] |
Generators of the group modulo torsion |
j |
-33116363266897/102636126208 |
j-invariant |
L |
1.7175106418234 |
L(r)(E,1)/r! |
Ω |
0.28129103019196 |
Real period |
R |
1.5264534389526 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001695 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6622h1 |
Quadratic twists by: -11 |