Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400jb |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-5044200875000000 = -1 · 26 · 59 · 79 |
Discriminant |
Eigenvalues |
2- -3 5+ 7- 1 3 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-34300,4201750] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:2401:1] |
Generators of the group modulo torsion |
j |
-110592/125 |
j-invariant |
L |
4.1908580447641 |
L(r)(E,1)/r! |
Ω |
0.39136951128262 |
Real period |
R |
2.6770468356157 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999948023 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78400dc1 19600cx1 15680du1 78400iw1 |
Quadratic twists by: -4 8 5 -7 |