Atkin-Lehner |
3+ 5- 31+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
86025d |
Isogeny class |
Conductor |
86025 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
628800 |
Modular degree for the optimal curve |
Δ |
-23102813513671875 = -1 · 35 · 59 · 312 · 373 |
Discriminant |
Eigenvalues |
0 3+ 5- 4 0 5 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-10083,-7319932] |
[a1,a2,a3,a4,a6] |
j |
-58050510848/11828640519 |
j-invariant |
L |
2.7125675068173 |
L(r)(E,1)/r! |
Ω |
0.16953547027673 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86025o1 |
Quadratic twists by: 5 |