Atkin-Lehner |
2- 3+ 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
108780h |
Isogeny class |
Conductor |
108780 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-4405590000 = -1 · 24 · 35 · 54 · 72 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 -4 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-366,-4059] |
[a1,a2,a3,a4,a6] |
j |
-6934848256/5619375 |
j-invariant |
L |
1.0548043762001 |
L(r)(E,1)/r! |
Ω |
0.52740215884539 |
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 |
108780bh1 |
Quadratic twists by: -7 |