Atkin-Lehner |
2- 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86700u |
Isogeny class |
Conductor |
86700 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
995328 |
Modular degree for the optimal curve |
Δ |
-30135272145120000 = -1 · 28 · 33 · 54 · 178 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 2 -3 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-732133,241508737] |
[a1,a2,a3,a4,a6] |
Generators |
[567:2890:1] |
Generators of the group modulo torsion |
j |
-11237785600/7803 |
j-invariant |
L |
5.5572621503891 |
L(r)(E,1)/r! |
Ω |
0.36834501970134 |
Real period |
R |
0.83817282548998 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006947 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86700bg1 5100q1 |
Quadratic twists by: 5 17 |