Atkin-Lehner |
2+ 5+ 11+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
121550i |
Isogeny class |
Conductor |
121550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5080320 |
Modular degree for the optimal curve |
Δ |
-6.2651809792E+20 |
Discriminant |
Eigenvalues |
2+ 0 5+ -3 11+ 13- 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3100742,2422948916] |
[a1,a2,a3,a4,a6] |
Generators |
[-1892:39858:1] |
Generators of the group modulo torsion |
j |
-337614152190933825/64155453227008 |
j-invariant |
L |
2.4031199949693 |
L(r)(E,1)/r! |
Ω |
0.15584294451025 |
Real period |
R |
3.8550348961623 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000155375 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121550by1 |
Quadratic twists by: 5 |