Atkin-Lehner |
2+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400ep |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
358400 |
Modular degree for the optimal curve |
Δ |
-5044200875000000 = -1 · 26 · 59 · 79 |
Discriminant |
Eigenvalues |
2+ 1 5- 7- 5 3 -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-28583,-3900037] |
[a1,a2,a3,a4,a6] |
Generators |
[149868294:4976076959:132651] |
Generators of the group modulo torsion |
j |
-512 |
j-invariant |
L |
8.3365247234578 |
L(r)(E,1)/r! |
Ω |
0.17265565410137 |
Real period |
R |
12.071027686975 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994919 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78400fe1 39200bg1 78400fb1 78400fc1 |
Quadratic twists by: -4 8 5 -7 |