Atkin-Lehner |
2- 3- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
97650ej |
Isogeny class |
Conductor |
97650 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
772377322500000000 = 28 · 38 · 510 · 72 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2790230,-1792744603] |
[a1,a2,a3,a4,a6] |
Generators |
[-975:883:1] |
Generators of the group modulo torsion |
j |
210909442362223249/67808160000 |
j-invariant |
L |
12.045912603373 |
L(r)(E,1)/r! |
Ω |
0.11681482029736 |
Real period |
R |
3.2224915285631 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000971 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
32550bd2 19530ba2 |
Quadratic twists by: -3 5 |