Atkin-Lehner |
2+ 3+ 5+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
86730h |
Isogeny class |
Conductor |
86730 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-442767599662500 = -1 · 22 · 36 · 55 · 77 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -1 6 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,13597,-802143] |
[a1,a2,a3,a4,a6] |
Generators |
[104:-1375:1] |
Generators of the group modulo torsion |
j |
2362734140759/3763462500 |
j-invariant |
L |
3.6419903822607 |
L(r)(E,1)/r! |
Ω |
0.27883739816436 |
Real period |
R |
0.81633382242073 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999918258 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12390j1 |
Quadratic twists by: -7 |