Atkin-Lehner |
2- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
7700j |
Isogeny class |
Conductor |
7700 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
1728 |
Modular degree for the optimal curve |
Δ |
-12320000 = -1 · 28 · 54 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 1 5- 7- 11+ 2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-308,1988] |
[a1,a2,a3,a4,a6] |
j |
-20261200/77 |
j-invariant |
L |
2.2630433347226 |
L(r)(E,1)/r! |
Ω |
2.2630433347226 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
30800cn1 123200dr1 69300co1 7700a1 |
Quadratic twists by: -4 8 -3 5 |