Atkin-Lehner |
2- 3+ 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
33810bv |
Isogeny class |
Conductor |
33810 |
Conductor |
∏ cp |
11 |
Product of Tamagawa factors cp |
deg |
332640 |
Modular degree for the optimal curve |
Δ |
8248185033984000 = 211 · 35 · 53 · 78 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 4 3 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-53901,2004099] |
[a1,a2,a3,a4,a6] |
j |
3004210524049/1430784000 |
j-invariant |
L |
4.0622125817156 |
L(r)(E,1)/r! |
Ω |
0.36929205288393 |
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 |
101430bw1 33810df1 |
Quadratic twists by: -3 -7 |