Atkin-Lehner |
2- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
15680dm |
Isogeny class |
Conductor |
15680 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
100352 |
Modular degree for the optimal curve |
Δ |
-51652616960000000 = -1 · 214 · 57 · 79 |
Discriminant |
Eigenvalues |
2- 1 5- 7- 3 1 5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,42075,10431875] |
[a1,a2,a3,a4,a6] |
j |
12459008/78125 |
j-invariant |
L |
3.6064795634208 |
L(r)(E,1)/r! |
Ω |
0.25760568310148 |
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 |
15680bq1 3920e1 78400hw1 15680ck1 |
Quadratic twists by: -4 8 5 -7 |