Atkin-Lehner |
2+ 3+ 5- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
73950x |
Isogeny class |
Conductor |
73950 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
367200 |
Modular degree for the optimal curve |
Δ |
-694834200000000 = -1 · 29 · 35 · 58 · 17 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 -4 0 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,14800,-1056000] |
[a1,a2,a3,a4,a6] |
Generators |
[830:9735:8] |
Generators of the group modulo torsion |
j |
917704734935/1778775552 |
j-invariant |
L |
4.5170775439836 |
L(r)(E,1)/r! |
Ω |
0.26583517958453 |
Real period |
R |
2.8320038694568 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001454 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73950ct1 |
Quadratic twists by: 5 |