Atkin-Lehner |
2- 3+ 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
108780k |
Isogeny class |
Conductor |
108780 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1492992 |
Modular degree for the optimal curve |
Δ |
-261773121093750000 = -1 · 24 · 33 · 512 · 72 · 373 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 6 4 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26266,-24661895] |
[a1,a2,a3,a4,a6] |
j |
-2556265764134656/333894287109375 |
j-invariant |
L |
2.4814900469798 |
L(r)(E,1)/r! |
Ω |
0.13786055284288 |
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 |
108780bj1 |
Quadratic twists by: -7 |