Atkin-Lehner |
2+ 3+ 5- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
38280f |
Isogeny class |
Conductor |
38280 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
991872 |
Modular degree for the optimal curve |
Δ |
-3.5411650079199E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 11+ -4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,820760,-8021588] |
[a1,a2,a3,a4,a6] |
Generators |
[3649:227070:1] |
Generators of the group modulo torsion |
j |
29856698263166687278/17290844765233875 |
j-invariant |
L |
4.0869737933212 |
L(r)(E,1)/r! |
Ω |
0.12275177982785 |
Real period |
R |
0.7927290339698 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999976 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76560s1 114840w1 |
Quadratic twists by: -4 -3 |