Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400is |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-8780800000000 = -1 · 216 · 58 · 73 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 4 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3967,-103937] |
[a1,a2,a3,a4,a6] |
Generators |
[37:308:1] |
Generators of the group modulo torsion |
j |
19652/25 |
j-invariant |
L |
4.3595285402606 |
L(r)(E,1)/r! |
Ω |
0.39178799525805 |
Real period |
R |
2.7818160546377 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985499 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78400cn1 19600u1 15680cs1 78400ig1 |
Quadratic twists by: -4 8 5 -7 |