Atkin-Lehner |
3+ 7- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
43953i |
Isogeny class |
Conductor |
43953 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-715726948476267 = -1 · 33 · 79 · 134 · 23 |
Discriminant |
Eigenvalues |
-2 3+ 0 7- 3 13+ 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-113108,-14660416] |
[a1,a2,a3,a4,a6] |
j |
-1360251712000000/6083578683 |
j-invariant |
L |
0.52052271731381 |
L(r)(E,1)/r! |
Ω |
0.13013067924264 |
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 |
6279j1 |
Quadratic twists by: -7 |