Atkin-Lehner |
2+ 3+ 5+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
33930b |
Isogeny class |
Conductor |
33930 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
282240 |
Modular degree for the optimal curve |
Δ |
-31809375000000000 = -1 · 29 · 33 · 514 · 13 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 5 13- 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-23415,8696925] |
[a1,a2,a3,a4,a6] |
j |
-52583908959625707/1178125000000000 |
j-invariant |
L |
1.242773073478 |
L(r)(E,1)/r! |
Ω |
0.31069326836752 |
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 |
33930w1 |
Quadratic twists by: -3 |