Atkin-Lehner |
2- 5+ 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
42550s |
Isogeny class |
Conductor |
42550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
-132968750 = -1 · 2 · 57 · 23 · 37 |
Discriminant |
Eigenvalues |
2- 1 5+ 4 3 -6 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1338,-18958] |
[a1,a2,a3,a4,a6] |
Generators |
[106184:1451383:512] |
Generators of the group modulo torsion |
j |
-16954786009/8510 |
j-invariant |
L |
11.965054793034 |
L(r)(E,1)/r! |
Ω |
0.3946760429902 |
Real period |
R |
7.579035392155 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8510b1 |
Quadratic twists by: 5 |