Atkin-Lehner |
2+ 5- 23+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
75440g |
Isogeny class |
Conductor |
75440 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12800 |
Modular degree for the optimal curve |
Δ |
-3093040 = -1 · 24 · 5 · 23 · 412 |
Discriminant |
Eigenvalues |
2+ 2 5- 0 2 -4 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,25,62] |
[a1,a2,a3,a4,a6] |
j |
103737344/193315 |
j-invariant |
L |
3.4784340566572 |
L(r)(E,1)/r! |
Ω |
1.739217007469 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37720o1 |
Quadratic twists by: -4 |