Atkin-Lehner |
2+ 3+ 5- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
86730n |
Isogeny class |
Conductor |
86730 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
90720 |
Modular degree for the optimal curve |
Δ |
-33734674260 = -1 · 22 · 35 · 5 · 76 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -2 -3 5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,808,36] |
[a1,a2,a3,a4,a6] |
Generators |
[0:6:1] |
Generators of the group modulo torsion |
j |
494913671/286740 |
j-invariant |
L |
4.1565882686563 |
L(r)(E,1)/r! |
Ω |
0.69244677246546 |
Real period |
R |
3.0013774564326 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000804 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1770b1 |
Quadratic twists by: -7 |