Atkin-Lehner |
2- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
7700k |
Isogeny class |
Conductor |
7700 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
-1.32632423693E+19 |
Discriminant |
Eigenvalues |
2- 3 5- 7- 11+ 6 -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1945375,1058963750] |
[a1,a2,a3,a4,a6] |
j |
-8142048846461520/132632423693 |
j-invariant |
L |
4.7110500257403 |
L(r)(E,1)/r! |
Ω |
0.22433571551144 |
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 |
30800cp1 123200du1 69300cr1 7700c1 |
Quadratic twists by: -4 8 -3 5 |