Atkin-Lehner |
2- 29- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
98368i |
Isogeny class |
Conductor |
98368 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
-2017640704832 = -1 · 26 · 296 · 53 |
Discriminant |
Eigenvalues |
2- 0 2 4 -6 -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8059,-286728] |
[a1,a2,a3,a4,a6] |
Generators |
[70226424075318:-5710433363890095:10618986392] |
Generators of the group modulo torsion |
j |
-904455502926912/31525636013 |
j-invariant |
L |
7.4317389773555 |
L(r)(E,1)/r! |
Ω |
0.2514261273002 |
Real period |
R |
19.705560096788 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999801264 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98368j1 49184a2 |
Quadratic twists by: -4 8 |