Atkin-Lehner |
2+ 7+ 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
14042b |
Isogeny class |
Conductor |
14042 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
374000 |
Modular degree for the optimal curve |
Δ |
-4419144685308215296 = -1 · 217 · 711 · 172 · 59 |
Discriminant |
Eigenvalues |
2+ 0 -3 7+ -6 4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-727256,-259075264] |
[a1,a2,a3,a4,a6] |
j |
-42538873695051049514073/4419144685308215296 |
j-invariant |
L |
0.16252977873295 |
L(r)(E,1)/r! |
Ω |
0.081264889366476 |
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 |
112336l1 126378be1 98294b1 |
Quadratic twists by: -4 -3 -7 |