Atkin-Lehner |
2- 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
97196a |
Isogeny class |
Conductor |
97196 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2649600 |
Modular degree for the optimal curve |
Δ |
-67052583239518976 = -1 · 28 · 11 · 478 |
Discriminant |
Eigenvalues |
2- 1 1 0 11+ 0 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21165165,37471309871] |
[a1,a2,a3,a4,a6] |
Generators |
[909790:103823:343] |
Generators of the group modulo torsion |
j |
-379980749676544/24299 |
j-invariant |
L |
9.1567443880525 |
L(r)(E,1)/r! |
Ω |
0.26295532240484 |
Real period |
R |
2.9018695135086 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999847493 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2068c1 |
Quadratic twists by: -47 |