Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400ht |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-439040000000 = -1 · 214 · 57 · 73 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- -1 -5 -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1867,6637] |
[a1,a2,a3,a4,a6] |
Generators |
[12:175:1] |
Generators of the group modulo torsion |
j |
8192/5 |
j-invariant |
L |
3.1286907594974 |
L(r)(E,1)/r! |
Ω |
0.57913404993842 |
Real period |
R |
1.3505900569741 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000476 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78400ba1 19600ce1 15680dl1 78400he1 |
Quadratic twists by: -4 8 5 -7 |