Atkin-Lehner |
2- 3+ 31+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
61752j |
Isogeny class |
Conductor |
61752 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
95872 |
Modular degree for the optimal curve |
Δ |
-5762202624 = -1 · 210 · 37 · 31 · 83 |
Discriminant |
Eigenvalues |
2- 3+ -1 5 4 -7 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4216,-104036] |
[a1,a2,a3,a4,a6] |
j |
-8095218381796/5627151 |
j-invariant |
L |
0.59244455866625 |
L(r)(E,1)/r! |
Ω |
0.29622227928529 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123504q1 |
Quadratic twists by: -4 |