Atkin-Lehner |
2- 3- 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
35376bi |
Isogeny class |
Conductor |
35376 |
Conductor |
∏ cp |
51 |
Product of Tamagawa factors cp |
deg |
685440 |
Modular degree for the optimal curve |
Δ |
-47170897165725696 = -1 · 212 · 317 · 113 · 67 |
Discriminant |
Eigenvalues |
2- 3- -3 3 11- -5 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1538437,734020979] |
[a1,a2,a3,a4,a6] |
Generators |
[734:-891:1] |
Generators of the group modulo torsion |
j |
-98311244861358051328/11516332315851 |
j-invariant |
L |
5.7429256205087 |
L(r)(E,1)/r! |
Ω |
0.3443330815008 |
Real period |
R |
0.32702749391677 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2211d1 106128bl1 |
Quadratic twists by: -4 -3 |