Atkin-Lehner |
2+ 7+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
101738c |
Isogeny class |
Conductor |
101738 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
413952 |
Modular degree for the optimal curve |
Δ |
-309449582460928 = -1 · 214 · 7 · 137 · 43 |
Discriminant |
Eigenvalues |
2+ 0 -2 7+ 3 13+ 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-18368,-1273856] |
[a1,a2,a3,a4,a6] |
Generators |
[1024:31936:1] |
Generators of the group modulo torsion |
j |
-141991553313/64110592 |
j-invariant |
L |
3.2394908341006 |
L(r)(E,1)/r! |
Ω |
0.20066962109601 |
Real period |
R |
2.0179255246614 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000094553 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7826i1 |
Quadratic twists by: 13 |