Atkin-Lehner |
2- 3+ 5+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
104370cl |
Isogeny class |
Conductor |
104370 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
658560 |
Modular degree for the optimal curve |
Δ |
-40078080000000 = -1 · 214 · 32 · 57 · 72 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 1 7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-47251,-3984751] |
[a1,a2,a3,a4,a6] |
j |
-238100999805398401/817920000000 |
j-invariant |
L |
4.5324750123841 |
L(r)(E,1)/r! |
Ω |
0.16187412776711 |
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 |
104370dp1 |
Quadratic twists by: -7 |