Atkin-Lehner |
2- 5- 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
53680bh |
Isogeny class |
Conductor |
53680 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
-92905593110000 = -1 · 24 · 54 · 11 · 615 |
Discriminant |
Eigenvalues |
2- -3 5- -1 11- 6 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8183,365899] |
[a1,a2,a3,a4,a6] |
Generators |
[698:18605:1] |
Generators of the group modulo torsion |
j |
3787401815334144/5806599569375 |
j-invariant |
L |
3.9612789440465 |
L(r)(E,1)/r! |
Ω |
0.40940600773214 |
Real period |
R |
0.48378368530699 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997401 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13420h1 |
Quadratic twists by: -4 |