Atkin-Lehner |
3- 5+ 31- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
86025i |
Isogeny class |
Conductor |
86025 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
699840 |
Modular degree for the optimal curve |
Δ |
-346542202705078125 = -1 · 36 · 510 · 312 · 373 |
Discriminant |
Eigenvalues |
1 3- 5+ 2 -2 0 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,134049,21113923] |
[a1,a2,a3,a4,a6] |
Generators |
[1031:34917:1] |
Generators of the group modulo torsion |
j |
27278410559375/35485921557 |
j-invariant |
L |
9.7170638308821 |
L(r)(E,1)/r! |
Ω |
0.20405102375486 |
Real period |
R |
3.9683962584782 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000404 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86025g1 |
Quadratic twists by: 5 |