Atkin-Lehner |
2+ 3- 7+ 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
86814l |
Isogeny class |
Conductor |
86814 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
58368 |
Modular degree for the optimal curve |
Δ |
-10062697554 = -1 · 2 · 39 · 7 · 13 · 532 |
Discriminant |
Eigenvalues |
2+ 3- 3 7+ -3 13+ -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-243,5103] |
[a1,a2,a3,a4,a6] |
Generators |
[81:675:1] |
Generators of the group modulo torsion |
j |
-2181825073/13803426 |
j-invariant |
L |
5.2768779463708 |
L(r)(E,1)/r! |
Ω |
1.1106150038592 |
Real period |
R |
0.59391394942229 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28938o1 |
Quadratic twists by: -3 |