Atkin-Lehner |
3- 5- 31+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
86025o |
Isogeny class |
Conductor |
86025 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
125760 |
Modular degree for the optimal curve |
Δ |
-1478580064875 = -1 · 35 · 53 · 312 · 373 |
Discriminant |
Eigenvalues |
0 3- 5- -4 0 -5 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-403,-58721] |
[a1,a2,a3,a4,a6] |
Generators |
[299:5161:1] [394:1661:8] |
Generators of the group modulo torsion |
j |
-58050510848/11828640519 |
j-invariant |
L |
9.3263417525269 |
L(r)(E,1)/r! |
Ω |
0.37909283613615 |
Real period |
R |
0.41002892798702 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86025d1 |
Quadratic twists by: 5 |