Atkin-Lehner |
3- 5+ 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
55845d |
Isogeny class |
Conductor |
55845 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
214016 |
Modular degree for the optimal curve |
Δ |
-100164338926875 = -1 · 317 · 54 · 17 · 73 |
Discriminant |
Eigenvalues |
0 3- 5+ -3 4 -4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-138018,-19741536] |
[a1,a2,a3,a4,a6] |
Generators |
[3874:41549:8] |
Generators of the group modulo torsion |
j |
-398844284797812736/137399641875 |
j-invariant |
L |
3.7805231658024 |
L(r)(E,1)/r! |
Ω |
0.123844479381 |
Real period |
R |
3.8157970228747 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000081 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18615k1 |
Quadratic twists by: -3 |