Atkin-Lehner |
2+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400ff |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-16141442800000000 = -1 · 210 · 58 · 79 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 1 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-285833,-59040463] |
[a1,a2,a3,a4,a6] |
Generators |
[165025502214757504527584013581688:37753879252827096163787446544265199:3152653493662747892659869243] |
Generators of the group modulo torsion |
j |
-160000 |
j-invariant |
L |
10.353970442404 |
L(r)(E,1)/r! |
Ω |
0.10319986296194 |
Real period |
R |
50.164652089809 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78400kx1 4900u1 78400cr1 78400fl1 |
Quadratic twists by: -4 8 5 -7 |