Atkin-Lehner |
2- 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
43350cp |
Isogeny class |
Conductor |
43350 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
783360 |
Modular degree for the optimal curve |
Δ |
2501463019858593750 = 2 · 33 · 58 · 179 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 3 -2 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-473388,99431031] |
[a1,a2,a3,a4,a6] |
Generators |
[-250680:7617409:512] |
Generators of the group modulo torsion |
j |
253265/54 |
j-invariant |
L |
6.8151600388972 |
L(r)(E,1)/r! |
Ω |
0.24309879800398 |
Real period |
R |
4.6724213192722 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999969 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43350bf1 43350dn1 |
Quadratic twists by: 5 17 |