Atkin-Lehner |
2+ 3+ 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
18600a |
Isogeny class |
Conductor |
18600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-697500000000 = -1 · 28 · 32 · 510 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1492,33012] |
[a1,a2,a3,a4,a6] |
Generators |
[62:600:1] |
Generators of the group modulo torsion |
j |
91765424/174375 |
j-invariant |
L |
4.1840502229791 |
L(r)(E,1)/r! |
Ω |
0.62335087200996 |
Real period |
R |
1.6780477941291 |
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 |
37200u1 55800bn1 3720g1 |
Quadratic twists by: -4 -3 5 |