Atkin-Lehner |
2- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
97216bj |
Isogeny class |
Conductor |
97216 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
428319522684928 = 224 · 77 · 31 |
Discriminant |
Eigenvalues |
2- 0 0 7- -2 -2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22540,-839664] |
[a1,a2,a3,a4,a6] |
Generators |
[-430:3723:8] |
Generators of the group modulo torsion |
j |
41063625/13888 |
j-invariant |
L |
5.0502471182425 |
L(r)(E,1)/r! |
Ω |
0.40029443775369 |
Real period |
R |
6.3081655057863 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999791111 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97216o1 24304l1 13888t1 |
Quadratic twists by: -4 8 -7 |