Atkin-Lehner |
2- 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
35700br |
Isogeny class |
Conductor |
35700 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-8057166468750000 = -1 · 24 · 32 · 59 · 73 · 174 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21833,-4500912] |
[a1,a2,a3,a4,a6] |
Generators |
[667:16677:1] |
Generators of the group modulo torsion |
j |
-36832722944/257829327 |
j-invariant |
L |
7.3758775062714 |
L(r)(E,1)/r! |
Ω |
0.17426217713521 |
Real period |
R |
3.5271937316558 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107100cc1 35700v1 |
Quadratic twists by: -3 5 |