Atkin-Lehner |
7- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
105413f |
Isogeny class |
Conductor |
105413 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
13104 |
Modular degree for the optimal curve |
Δ |
105413 = 7 · 11 · 372 |
Discriminant |
Eigenvalues |
-2 2 2 7- 11+ -1 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-12,-2] |
[a1,a2,a3,a4,a6] |
j |
151552/77 |
j-invariant |
L |
2.6886611526579 |
L(r)(E,1)/r! |
Ω |
2.6886614242519 |
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 |
105413e1 |
Quadratic twists by: 37 |