Atkin-Lehner |
2+ 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
79350x |
Isogeny class |
Conductor |
79350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
76608572557500 = 22 · 32 · 54 · 237 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 5 3 -5 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-13500,-438300] |
[a1,a2,a3,a4,a6] |
Generators |
[174:1500:1] |
Generators of the group modulo torsion |
j |
2941225/828 |
j-invariant |
L |
5.2028789938904 |
L(r)(E,1)/r! |
Ω |
0.45235440521005 |
Real period |
R |
1.4377219868753 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000091 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79350do1 3450f1 |
Quadratic twists by: 5 -23 |