Atkin-Lehner |
2- 3- 5+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
97350cw |
Isogeny class |
Conductor |
97350 |
Conductor |
∏ cp |
1120 |
Product of Tamagawa factors cp |
deg |
61931520 |
Modular degree for the optimal curve |
Δ |
3.5967094230299E+25 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11- 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1099134188,-14022811729008] |
[a1,a2,a3,a4,a6] |
Generators |
[-18968:44884:1] |
Generators of the group modulo torsion |
j |
9398441356155937658581065721/2301894030739164364800 |
j-invariant |
L |
10.661905632419 |
L(r)(E,1)/r! |
Ω |
0.026220638236365 |
Real period |
R |
1.4522237802859 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000535 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19470i1 |
Quadratic twists by: 5 |