Atkin-Lehner |
7+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
3451b |
Isogeny class |
Conductor |
3451 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
336 |
Modular degree for the optimal curve |
Δ |
-58667 = -1 · 7 · 172 · 29 |
Discriminant |
Eigenvalues |
0 1 4 7+ -4 2 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-21,-47] |
[a1,a2,a3,a4,a6] |
j |
-1073741824/58667 |
j-invariant |
L |
2.2144096605855 |
L(r)(E,1)/r! |
Ω |
1.1072048302927 |
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 |
55216u1 31059g1 86275d1 24157a1 |
Quadratic twists by: -4 -3 5 -7 |