Atkin-Lehner |
2+ 3+ 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
113088f |
Isogeny class |
Conductor |
113088 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
34378752 = 210 · 3 · 192 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 -4 -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-149,693] |
[a1,a2,a3,a4,a6] |
Generators |
[13:28:1] |
Generators of the group modulo torsion |
j |
359661568/33573 |
j-invariant |
L |
3.8197604152161 |
L(r)(E,1)/r! |
Ω |
2.0128180938105 |
Real period |
R |
1.8977176441887 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010602 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113088bc1 7068e1 |
Quadratic twists by: -4 8 |