Atkin-Lehner |
2- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
30800cn |
Isogeny class |
Conductor |
30800 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
6912 |
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 |
1.70858623375 |
L(r)(E,1)/r! |
Ω |
0.56952874458406 |
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 |
7700j1 123200gs1 30800br1 |
Quadratic twists by: -4 8 5 |