Atkin-Lehner |
2+ 3+ 7- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
110838g |
Isogeny class |
Conductor |
110838 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4064256 |
Modular degree for the optimal curve |
Δ |
3.1314877739092E+19 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- -1 13+ 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2718398,1702842156] |
[a1,a2,a3,a4,a6] |
Generators |
[-1889:11034:1] |
Generators of the group modulo torsion |
j |
18883167595005855961/266172068943144 |
j-invariant |
L |
3.3240559181923 |
L(r)(E,1)/r! |
Ω |
0.20899672533291 |
Real period |
R |
7.9524113628366 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000015501 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15834h1 |
Quadratic twists by: -7 |