Atkin-Lehner |
2- 3- 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
61800o |
Isogeny class |
Conductor |
61800 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1152000 |
Modular degree for the optimal curve |
Δ |
-6444967500000000 = -1 · 28 · 35 · 510 · 1032 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 6 -1 -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2050833,1129752963] |
[a1,a2,a3,a4,a6] |
Generators |
[789:1854:1] |
Generators of the group modulo torsion |
j |
-381570513433600/2577987 |
j-invariant |
L |
7.1383110728389 |
L(r)(E,1)/r! |
Ω |
0.37773776991078 |
Real period |
R |
0.94487653087858 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000752 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123600h1 61800d1 |
Quadratic twists by: -4 5 |