Atkin-Lehner |
3+ 5- 31- 37- |
Signs for the Atkin-Lehner involutions |
Class |
86025g |
Isogeny class |
Conductor |
86025 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
139968 |
Modular degree for the optimal curve |
Δ |
-22178700973125 = -1 · 36 · 54 · 312 · 373 |
Discriminant |
Eigenvalues |
-1 3+ 5- -2 -2 0 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,5362,171056] |
[a1,a2,a3,a4,a6] |
Generators |
[26:-587:1] [150:2017:1] |
Generators of the group modulo torsion |
j |
27278410559375/35485921557 |
j-invariant |
L |
5.3831114312143 |
L(r)(E,1)/r! |
Ω |
0.45627195999429 |
Real period |
R |
0.32772312609446 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000716 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86025i1 |
Quadratic twists by: 5 |