Atkin-Lehner |
2+ 3+ 13+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
71994h |
Isogeny class |
Conductor |
71994 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1441440 |
Modular degree for the optimal curve |
Δ |
685000097242789536 = 25 · 37 · 1310 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -2 4 13+ -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1043071,-408529883] |
[a1,a2,a3,a4,a6] |
Generators |
[-187563640379148271806:192846526228001337071:336488386307160088] |
Generators of the group modulo torsion |
j |
910400427313/4968864 |
j-invariant |
L |
4.8912747123414 |
L(r)(E,1)/r! |
Ω |
0.14943892902244 |
Real period |
R |
32.730927237887 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71994bl1 |
Quadratic twists by: 13 |