Atkin-Lehner |
2+ 3- 5+ 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
105450bc |
Isogeny class |
Conductor |
105450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-26362500000 = -1 · 25 · 3 · 58 · 19 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -4 0 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2626,52148] |
[a1,a2,a3,a4,a6] |
Generators |
[72:451:1] |
Generators of the group modulo torsion |
j |
-128100283921/1687200 |
j-invariant |
L |
6.2559092726934 |
L(r)(E,1)/r! |
Ω |
1.1929451935837 |
Real period |
R |
2.6220438627243 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000041382 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21090j1 |
Quadratic twists by: 5 |