Atkin-Lehner |
2+ 3- 7+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
86814g |
Isogeny class |
Conductor |
86814 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
156672 |
Modular degree for the optimal curve |
Δ |
-40250790216 = -1 · 23 · 39 · 7 · 13 · 532 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ -1 13+ -7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7686,261468] |
[a1,a2,a3,a4,a6] |
Generators |
[51:-12:1] [-57:744:1] |
Generators of the group modulo torsion |
j |
-68885705026657/55213704 |
j-invariant |
L |
6.274511837044 |
L(r)(E,1)/r! |
Ω |
1.1390846854341 |
Real period |
R |
0.68854755899175 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998721 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28938p1 |
Quadratic twists by: -3 |