Atkin-Lehner |
2+ 3+ 7- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
110838h |
Isogeny class |
Conductor |
110838 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
449366741419954176 = 212 · 38 · 76 · 132 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- -4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1101594,443392020] |
[a1,a2,a3,a4,a6] |
Generators |
[-645:30090:1] |
Generators of the group modulo torsion |
j |
1256610758033695897/3819554279424 |
j-invariant |
L |
3.7103634223503 |
L(r)(E,1)/r! |
Ω |
0.29795426951643 |
Real period |
R |
3.1131987544051 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999445805 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2262h2 |
Quadratic twists by: -7 |