Atkin-Lehner |
2- 5+ 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
77420b |
Isogeny class |
Conductor |
77420 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
126000 |
Modular degree for the optimal curve |
Δ |
-582936677120 = -1 · 28 · 5 · 78 · 79 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ 1 -6 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-37501,2782975] |
[a1,a2,a3,a4,a6] |
Generators |
[114:49:1] |
Generators of the group modulo torsion |
j |
-3952205824/395 |
j-invariant |
L |
6.2096485231151 |
L(r)(E,1)/r! |
Ω |
0.88010842692636 |
Real period |
R |
0.78394993820782 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001561 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77420m1 |
Quadratic twists by: -7 |