Atkin-Lehner |
2+ 3+ 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
106560v |
Isogeny class |
Conductor |
106560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
28672 |
Modular degree for the optimal curve |
Δ |
-102297600 = -1 · 212 · 33 · 52 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -6 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,108,224] |
[a1,a2,a3,a4,a6] |
Generators |
[8:40:1] |
Generators of the group modulo torsion |
j |
1259712/925 |
j-invariant |
L |
6.2195140715243 |
L(r)(E,1)/r! |
Ω |
1.2034758998142 |
Real period |
R |
1.2919897429505 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999963537 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106560u1 53280x1 106560h1 |
Quadratic twists by: -4 8 -3 |