Atkin-Lehner |
5- 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
42955h |
Isogeny class |
Conductor |
42955 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
116160 |
Modular degree for the optimal curve |
Δ |
-47560876721875 = -1 · 55 · 118 · 71 |
Discriminant |
Eigenvalues |
2 0 5- -1 11- -1 1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-9317,-479493] |
[a1,a2,a3,a4,a6] |
Generators |
[7986:251071:8] |
Generators of the group modulo torsion |
j |
-417263616/221875 |
j-invariant |
L |
11.455268767533 |
L(r)(E,1)/r! |
Ω |
0.23706162847837 |
Real period |
R |
3.2214601300241 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42955j1 |
Quadratic twists by: -11 |