Atkin-Lehner |
2+ 3- 7+ 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
86814m |
Isogeny class |
Conductor |
86814 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
71680 |
Modular degree for the optimal curve |
Δ |
-30757679316 = -1 · 22 · 313 · 7 · 13 · 53 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ 2 13+ 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-126,-8424] |
[a1,a2,a3,a4,a6] |
Generators |
[42:-264:1] |
Generators of the group modulo torsion |
j |
-304821217/42191604 |
j-invariant |
L |
2.7353606169411 |
L(r)(E,1)/r! |
Ω |
0.52144831350677 |
Real period |
R |
0.65571230754376 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005946 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28938m1 |
Quadratic twists by: -3 |