Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800gj |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
-1828915200000000 = -1 · 217 · 36 · 58 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -1 6 -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-151500,22790000] |
[a1,a2,a3,a4,a6] |
Generators |
[200:700:1] |
Generators of the group modulo torsion |
j |
-10303010/49 |
j-invariant |
L |
6.7497466933833 |
L(r)(E,1)/r! |
Ω |
0.47203172436935 |
Real period |
R |
1.1916124772151 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999771618 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100800pj1 12600z1 11200be1 100800eu1 |
Quadratic twists by: -4 8 -3 5 |