Atkin-Lehner |
2- 5- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
74200w |
Isogeny class |
Conductor |
74200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-345208543750000 = -1 · 24 · 58 · 7 · 534 |
Discriminant |
Eigenvalues |
2- 0 5- 7- -3 6 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2125,-893125] |
[a1,a2,a3,a4,a6] |
j |
169793280/55233367 |
j-invariant |
L |
3.0391323589964 |
L(r)(E,1)/r! |
Ω |
0.25326102827656 |
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 |
74200c1 |
Quadratic twists by: 5 |