Atkin-Lehner |
2- 3+ 5- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
108780r |
Isogeny class |
Conductor |
108780 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-5733440482560 = -1 · 28 · 3 · 5 · 79 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -3 2 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7660,285160] |
[a1,a2,a3,a4,a6] |
j |
-4812208/555 |
j-invariant |
L |
1.4763799036588 |
L(r)(E,1)/r! |
Ω |
0.73818993674368 |
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 |
108780ba1 |
Quadratic twists by: -7 |