Atkin-Lehner |
2+ 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
55200bk |
Isogeny class |
Conductor |
55200 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
14191588800000000 = 212 · 36 · 58 · 233 |
Discriminant |
Eigenvalues |
2+ 3- 5- -5 -1 -3 -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-68833,-3955537] |
[a1,a2,a3,a4,a6] |
Generators |
[-217:900:1] [-211:1104:1] |
Generators of the group modulo torsion |
j |
22542399040/8869743 |
j-invariant |
L |
10.073434153998 |
L(r)(E,1)/r! |
Ω |
0.30485087226947 |
Real period |
R |
0.15298059961027 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999945 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55200by1 110400cs1 55200bp1 |
Quadratic twists by: -4 8 5 |