Atkin-Lehner |
2+ 3+ 7- 23+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
41538d |
Isogeny class |
Conductor |
41538 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
52800 |
Modular degree for the optimal curve |
Δ |
-67502905344 = -1 · 211 · 32 · 7 · 233 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- -3 -5 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1059,-18675] |
[a1,a2,a3,a4,a6] |
j |
-131538296772793/67502905344 |
j-invariant |
L |
0.81701696935163 |
L(r)(E,1)/r! |
Ω |
0.40850848470691 |
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 |
124614t1 |
Quadratic twists by: -3 |