Atkin-Lehner |
2- 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
104400fu |
Isogeny class |
Conductor |
104400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
-2840700948480000 = -1 · 215 · 314 · 54 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -2 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-561675,-162042950] |
[a1,a2,a3,a4,a6] |
j |
-10500536779225/1522152 |
j-invariant |
L |
0.3487825066664 |
L(r)(E,1)/r! |
Ω |
0.087195587576635 |
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 |
13050bs1 34800dw1 104400ed1 |
Quadratic twists by: -4 -3 5 |