Atkin-Lehner |
2+ 3- 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
44880j |
Isogeny class |
Conductor |
44880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
239616 |
Modular degree for the optimal curve |
Δ |
64851600000000 = 210 · 3 · 58 · 11 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11+ 4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-52376,-4614876] |
[a1,a2,a3,a4,a6] |
j |
15517760012230756/63331640625 |
j-invariant |
L |
2.5252965880627 |
L(r)(E,1)/r! |
Ω |
0.31566207354887 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22440n1 |
Quadratic twists by: -4 |