Atkin-Lehner |
5+ 41- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
10865b |
Isogeny class |
Conductor |
10865 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
9520 |
Modular degree for the optimal curve |
Δ |
153509466325 = 52 · 415 · 53 |
Discriminant |
Eigenvalues |
0 -1 5+ 2 0 -4 -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-5991,-175503] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:6:1] [111:717:1] |
Generators of the group modulo torsion |
j |
23784507336392704/153509466325 |
j-invariant |
L |
4.4700513874415 |
L(r)(E,1)/r! |
Ω |
0.54285964234699 |
Real period |
R |
0.82342672741629 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97785g1 54325d1 |
Quadratic twists by: -3 5 |