Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
14994da |
Isogeny class |
Conductor |
14994 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-181146881212416 = -1 · 214 · 38 · 73 · 173 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 4 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1616,-647629] |
[a1,a2,a3,a4,a6] |
Generators |
[381:-7535:1] |
Generators of the group modulo torsion |
j |
-1865409391/724451328 |
j-invariant |
L |
6.8152137457674 |
L(r)(E,1)/r! |
Ω |
0.25532723575859 |
Real period |
R |
0.31776279852155 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119952gu1 4998r1 14994cj1 |
Quadratic twists by: -4 -3 -7 |