Atkin-Lehner |
2+ 3+ 5- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
74550x |
Isogeny class |
Conductor |
74550 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
-14089950000000 = -1 · 27 · 34 · 58 · 72 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 0 7 8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2200,184000] |
[a1,a2,a3,a4,a6] |
Generators |
[85:745:1] |
Generators of the group modulo torsion |
j |
-3016755625/36070272 |
j-invariant |
L |
4.295630775948 |
L(r)(E,1)/r! |
Ω |
0.59848724477925 |
Real period |
R |
0.59812340942552 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995518 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74550dm1 |
Quadratic twists by: 5 |