Atkin-Lehner |
2- 3- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
98112cc |
Isogeny class |
Conductor |
98112 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
419328 |
Modular degree for the optimal curve |
Δ |
-1404050407861248 = -1 · 210 · 37 · 76 · 732 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-30469,2717627] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:-1764:1] [-97:2184:1] |
Generators of the group modulo torsion |
j |
-3055009826357248/1371142976427 |
j-invariant |
L |
12.290919741595 |
L(r)(E,1)/r! |
Ω |
0.44889979084309 |
Real period |
R |
0.6519070675331 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999987599 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98112d1 24528j1 |
Quadratic twists by: -4 8 |