Atkin-Lehner |
2+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400eq |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
-2744000 = -1 · 26 · 53 · 73 |
Discriminant |
Eigenvalues |
2+ 1 5- 7- 5 3 -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-23,83] |
[a1,a2,a3,a4,a6] |
Generators |
[2:7:1] |
Generators of the group modulo torsion |
j |
-512 |
j-invariant |
L |
8.0991983527119 |
L(r)(E,1)/r! |
Ω |
2.2749452717098 |
Real period |
R |
0.89004320774503 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005438 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78400fd1 39200cy1 78400fc1 78400fb1 |
Quadratic twists by: -4 8 5 -7 |