Atkin-Lehner |
2- 3- 5- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
108780bg |
Isogeny class |
Conductor |
108780 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
3278016 |
Modular degree for the optimal curve |
Δ |
-2303614479600 = -1 · 24 · 33 · 52 · 78 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 2 4 1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21016410,-37090949967] |
[a1,a2,a3,a4,a6] |
Generators |
[3381065178:390198210303:226981] |
Generators of the group modulo torsion |
j |
-11129996480152727296/24975 |
j-invariant |
L |
10.661114282175 |
L(r)(E,1)/r! |
Ω |
0.035255747264174 |
Real period |
R |
16.799647442775 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000040821 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108780g1 |
Quadratic twists by: -7 |