Atkin-Lehner |
2+ 7- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
117334h |
Isogeny class |
Conductor |
117334 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
8501760 |
Modular degree for the optimal curve |
Δ |
-1.5444377242582E+22 |
Discriminant |
Eigenvalues |
2+ 0 -3 7- -3 0 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,5433724,-3463016624] |
[a1,a2,a3,a4,a6] |
Generators |
[36408:2127332:27] |
Generators of the group modulo torsion |
j |
735060125338815303/639848082571264 |
j-invariant |
L |
2.172831804532 |
L(r)(E,1)/r! |
Ω |
0.068444091702119 |
Real period |
R |
1.5873041540618 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999214702 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6902a1 |
Quadratic twists by: 17 |