Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
14700bt |
Isogeny class |
Conductor |
14700 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-3631824630000 = -1 · 24 · 32 · 54 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -3 6 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2858,-109887] |
[a1,a2,a3,a4,a6] |
Generators |
[114:1029:1] |
Generators of the group modulo torsion |
j |
-6400/9 |
j-invariant |
L |
6.0715218969351 |
L(r)(E,1)/r! |
Ω |
0.31058207224218 |
Real period |
R |
1.6290707136611 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58800hg1 44100df1 14700k1 14700t1 |
Quadratic twists by: -4 -3 5 -7 |