Atkin-Lehner |
2+ 3+ 5- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
38850s |
Isogeny class |
Conductor |
38850 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
6961920000 = 211 · 3 · 54 · 72 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 4 -1 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1925,-33075] |
[a1,a2,a3,a4,a6] |
j |
1263247246825/11139072 |
j-invariant |
L |
1.442193586143 |
L(r)(E,1)/r! |
Ω |
0.72109679304966 |
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 |
116550fl1 38850cv1 |
Quadratic twists by: -3 5 |