Atkin-Lehner |
2+ 3- 5- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
35880f |
Isogeny class |
Conductor |
35880 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-151368750000 = -1 · 24 · 34 · 58 · 13 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1775,33750] |
[a1,a2,a3,a4,a6] |
j |
-38676169209856/9460546875 |
j-invariant |
L |
3.9175653536684 |
L(r)(E,1)/r! |
Ω |
0.97939133841999 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
71760i1 107640bb1 |
Quadratic twists by: -4 -3 |