Atkin-Lehner |
2+ 3- 5+ 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
47430g |
Isogeny class |
Conductor |
47430 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
85760 |
Modular degree for the optimal curve |
Δ |
-15870599730 = -1 · 2 · 311 · 5 · 172 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 3 4 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-14040,-636854] |
[a1,a2,a3,a4,a6] |
j |
-419870059539841/21770370 |
j-invariant |
L |
1.7543448568992 |
L(r)(E,1)/r! |
Ω |
0.21929310713203 |
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 |
15810p1 |
Quadratic twists by: -3 |