Atkin-Lehner |
2+ 5- 11+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
45650k |
Isogeny class |
Conductor |
45650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-62768750000 = -1 · 24 · 58 · 112 · 83 |
Discriminant |
Eigenvalues |
2+ 1 5- 4 11+ 6 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,674,10048] |
[a1,a2,a3,a4,a6] |
j |
86869895/160688 |
j-invariant |
L |
3.0428847659826 |
L(r)(E,1)/r! |
Ω |
0.76072119142065 |
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 |
45650u1 |
Quadratic twists by: 5 |