Atkin-Lehner |
2- 3- 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
14454h |
Isogeny class |
Conductor |
14454 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
12800 |
Modular degree for the optimal curve |
Δ |
1798308864 = 210 · 37 · 11 · 73 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 11+ -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-356,1671] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:45:1] [-13:69:1] |
Generators of the group modulo torsion |
j |
6826561273/2466816 |
j-invariant |
L |
7.9737474131985 |
L(r)(E,1)/r! |
Ω |
1.3620548668849 |
Real period |
R |
0.58542042667022 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115632bf1 4818a1 |
Quadratic twists by: -4 -3 |