Atkin-Lehner |
2+ 7- 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
111622d |
Isogeny class |
Conductor |
111622 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
5474304 |
Modular degree for the optimal curve |
Δ |
1.7002824119309E+21 |
Discriminant |
Eigenvalues |
2+ -1 1 7- -6 3 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3296402,1169424628] |
[a1,a2,a3,a4,a6] |
Generators |
[-981:59315:1] |
Generators of the group modulo torsion |
j |
33671013182870513689/14452162040739136 |
j-invariant |
L |
3.1675679828162 |
L(r)(E,1)/r! |
Ω |
0.13479304709679 |
Real period |
R |
1.4687181561226 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000168501 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15946d1 |
Quadratic twists by: -7 |