Atkin-Lehner |
2+ 3+ 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
123600a |
Isogeny class |
Conductor |
123600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-53395200 = -1 · 28 · 34 · 52 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 0 -3 -7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,92,-128] |
[a1,a2,a3,a4,a6] |
Generators |
[16:72:1] |
Generators of the group modulo torsion |
j |
13310000/8343 |
j-invariant |
L |
5.8387472910553 |
L(r)(E,1)/r! |
Ω |
1.1474695603644 |
Real period |
R |
1.2720919931796 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998808439 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61800p1 123600r1 |
Quadratic twists by: -4 5 |