Atkin-Lehner |
2+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400fc |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
51200 |
Modular degree for the optimal curve |
Δ |
-42875000000 = -1 · 26 · 59 · 73 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- 5 -3 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-583,11537] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:125:1] |
Generators of the group modulo torsion |
j |
-512 |
j-invariant |
L |
4.997055061731 |
L(r)(E,1)/r! |
Ω |
1.017386454527 |
Real period |
R |
1.2279146825546 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000695 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78400es1 39200bb1 78400eq1 78400ep1 |
Quadratic twists by: -4 8 5 -7 |