Atkin-Lehner |
2- 5+ 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
102410bi |
Isogeny class |
Conductor |
102410 |
Conductor |
∏ cp |
19 |
Product of Tamagawa factors cp |
deg |
89376 |
Modular degree for the optimal curve |
Δ |
26846167040 = 219 · 5 · 72 · 11 · 19 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 11+ 1 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1156,12816] |
[a1,a2,a3,a4,a6] |
Generators |
[8:60:1] |
Generators of the group modulo torsion |
j |
3486780548881/547880960 |
j-invariant |
L |
6.6854204205109 |
L(r)(E,1)/r! |
Ω |
1.1361846470741 |
Real period |
R |
0.30968930477214 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999776425 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102410ca1 |
Quadratic twists by: -7 |