Atkin-Lehner |
2- 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114444d |
Isogeny class |
Conductor |
114444 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-7581325406485248 = -1 · 28 · 38 · 11 · 177 |
Discriminant |
Eigenvalues |
2- 3- -2 1 11+ 2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,27744,3792836] |
[a1,a2,a3,a4,a6] |
Generators |
[85:2601:1] |
Generators of the group modulo torsion |
j |
524288/1683 |
j-invariant |
L |
6.0785618913441 |
L(r)(E,1)/r! |
Ω |
0.29479622220747 |
Real period |
R |
1.7182948345175 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999688932 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38148e1 6732b1 |
Quadratic twists by: -3 17 |