Atkin-Lehner |
2- 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
45760bt |
Isogeny class |
Conductor |
45760 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-311888445440 = -1 · 225 · 5 · 11 · 132 |
Discriminant |
Eigenvalues |
2- -1 5- 1 11- 13+ 5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1695,-1535] |
[a1,a2,a3,a4,a6] |
j |
2053225511/1189760 |
j-invariant |
L |
2.3005570974458 |
L(r)(E,1)/r! |
Ω |
0.57513927432275 |
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 |
45760n1 11440h1 |
Quadratic twists by: -4 8 |