Atkin-Lehner |
2+ 3- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
71478h |
Isogeny class |
Conductor |
71478 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1772928 |
Modular degree for the optimal curve |
Δ |
-8437316728381060608 = -1 · 29 · 36 · 113 · 198 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 11+ -1 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1691172,858387024] |
[a1,a2,a3,a4,a6] |
j |
-43204686625/681472 |
j-invariant |
L |
1.3980363786276 |
L(r)(E,1)/r! |
Ω |
0.23300606364055 |
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 |
7942r1 71478bu1 |
Quadratic twists by: -3 -19 |