Atkin-Lehner |
2+ 3+ 43+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
97008c |
Isogeny class |
Conductor |
97008 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
261632 |
Modular degree for the optimal curve |
Δ |
-116305888359168 = -1 · 28 · 314 · 43 · 472 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 -1 -3 -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,8191,430653] |
[a1,a2,a3,a4,a6] |
Generators |
[-12292:102789:343] |
Generators of the group modulo torsion |
j |
237378566355968/454319876403 |
j-invariant |
L |
4.7102802876112 |
L(r)(E,1)/r! |
Ω |
0.40713135663505 |
Real period |
R |
2.8923590634366 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021487 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48504g1 |
Quadratic twists by: -4 |