Atkin-Lehner |
2- 3- 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
44880cv |
Isogeny class |
Conductor |
44880 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
337920 |
Modular degree for the optimal curve |
Δ |
4096110310195200 = 234 · 3 · 52 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11- -4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-185960,30649908] |
[a1,a2,a3,a4,a6] |
Generators |
[231:270:1] |
Generators of the group modulo torsion |
j |
173629978755828841/1000026931200 |
j-invariant |
L |
7.4263195850775 |
L(r)(E,1)/r! |
Ω |
0.4414436668825 |
Real period |
R |
4.2057006036025 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000028 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5610g1 |
Quadratic twists by: -4 |