Atkin-Lehner |
2- 3- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
97650ej |
Isogeny class |
Conductor |
97650 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
1179648 |
Modular degree for the optimal curve |
Δ |
328029004800000000 = 216 · 310 · 58 · 7 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-198230,-19816603] |
[a1,a2,a3,a4,a6] |
Generators |
[-375:1483:1] |
Generators of the group modulo torsion |
j |
75627935783569/28798156800 |
j-invariant |
L |
12.045912603373 |
L(r)(E,1)/r! |
Ω |
0.23362964059471 |
Real period |
R |
1.6112457642815 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000971 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32550bd1 19530ba1 |
Quadratic twists by: -3 5 |