Atkin-Lehner |
2+ 3- 5+ 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
105450x |
Isogeny class |
Conductor |
105450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-742086870300 = -1 · 22 · 34 · 52 · 195 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 3 5 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,699,-40772] |
[a1,a2,a3,a4,a6] |
j |
1513937879375/29683474812 |
j-invariant |
L |
3.5022594648984 |
L(r)(E,1)/r! |
Ω |
0.43778244126831 |
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 |
105450cb1 |
Quadratic twists by: 5 |