Atkin-Lehner |
2+ 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
14784q |
Isogeny class |
Conductor |
14784 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-450878477220864 = -1 · 210 · 39 · 75 · 113 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7- 11+ 7 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-68969,7069041] |
[a1,a2,a3,a4,a6] |
j |
-35431687725461248/440311012911 |
j-invariant |
L |
2.6483026726151 |
L(r)(E,1)/r! |
Ω |
0.52966053452302 |
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 |
14784ch1 924h1 44352cs1 103488dn1 |
Quadratic twists by: -4 8 -3 -7 |