Atkin-Lehner |
2- 3- 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
108780w |
Isogeny class |
Conductor |
108780 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
559104 |
Modular degree for the optimal curve |
Δ |
1657322639490000 = 24 · 3 · 54 · 79 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-106101,13122024] |
[a1,a2,a3,a4,a6] |
j |
204589760512/2566875 |
j-invariant |
L |
3.8009278493126 |
L(r)(E,1)/r! |
Ω |
0.47511597312221 |
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 |
108780p1 |
Quadratic twists by: -7 |