Atkin-Lehner |
2+ 3+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
9696a |
Isogeny class |
Conductor |
9696 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
301584384 = 212 · 36 · 101 |
Discriminant |
Eigenvalues |
2+ 3+ 1 4 -4 1 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-445,-3371] |
[a1,a2,a3,a4,a6] |
Generators |
[31:108:1] |
Generators of the group modulo torsion |
j |
2384621056/73629 |
j-invariant |
L |
4.4499168229578 |
L(r)(E,1)/r! |
Ω |
1.0412356524967 |
Real period |
R |
1.0684221223811 |
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 |
9696h1 19392s1 29088l1 |
Quadratic twists by: -4 8 -3 |