Atkin-Lehner |
2+ 3+ 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
21450i |
Isogeny class |
Conductor |
21450 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
4939200 |
Modular degree for the optimal curve |
Δ |
-4.0954951387033E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 11- 13- -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-144360025,668252897125] |
[a1,a2,a3,a4,a6] |
Generators |
[5839:153451:1] |
Generators of the group modulo torsion |
j |
-21293376668673906679951249/26211168887701209984 |
j-invariant |
L |
2.9841226752314 |
L(r)(E,1)/r! |
Ω |
0.094327972524597 |
Real period |
R |
0.75322873994706 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64350du1 858k1 |
Quadratic twists by: -3 5 |