Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
14700bp |
Isogeny class |
Conductor |
14700 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-102145067718750000 = -1 · 24 · 34 · 59 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-114333,-21435912] |
[a1,a2,a3,a4,a6] |
Generators |
[263847054:1042799919:636056] |
Generators of the group modulo torsion |
j |
-131072/81 |
j-invariant |
L |
5.8631378989321 |
L(r)(E,1)/r! |
Ω |
0.12626990065775 |
Real period |
R |
11.608344245917 |
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 |
58800gv1 44100cu1 14700o1 14700p1 |
Quadratic twists by: -4 -3 5 -7 |