Atkin-Lehner |
2- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
75200dz |
Isogeny class |
Conductor |
75200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1797120 |
Modular degree for the optimal curve |
Δ |
-1853043507200000000 = -1 · 231 · 58 · 472 |
Discriminant |
Eigenvalues |
2- -1 5- -4 5 -4 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1228833,-527974463] |
[a1,a2,a3,a4,a6] |
j |
-2004023020585/18096128 |
j-invariant |
L |
1.7197827406835 |
L(r)(E,1)/r! |
Ω |
0.071657614861694 |
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 |
75200bg1 18800bp1 75200cf1 |
Quadratic twists by: -4 8 5 |