Atkin-Lehner |
2+ 3+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
22506a |
Isogeny class |
Conductor |
22506 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
27191852772612 = 22 · 3 · 119 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 11+ 0 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-27590,1734528] |
[a1,a2,a3,a4,a6] |
Generators |
[87:3:1] |
Generators of the group modulo torsion |
j |
985074875/11532 |
j-invariant |
L |
3.3328889740774 |
L(r)(E,1)/r! |
Ω |
0.66942466437503 |
Real period |
R |
2.4893682227775 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67518bh1 22506u1 |
Quadratic twists by: -3 -11 |