Atkin-Lehner |
3+ 5+ 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
33825g |
Isogeny class |
Conductor |
33825 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
-7674046875 = -1 · 32 · 56 · 113 · 41 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -1 11+ 6 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-838,-10594] |
[a1,a2,a3,a4,a6] |
j |
-4165509529/491139 |
j-invariant |
L |
0.88149542115143 |
L(r)(E,1)/r! |
Ω |
0.44074771057585 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101475bm1 1353c1 |
Quadratic twists by: -3 5 |