Atkin-Lehner |
2+ 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
56350x |
Isogeny class |
Conductor |
56350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-2900415503125000 = -1 · 23 · 58 · 79 · 23 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- -6 1 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,20800,-2311000] |
[a1,a2,a3,a4,a6] |
Generators |
[5963243:206207228:4913] |
Generators of the group modulo torsion |
j |
21653735/63112 |
j-invariant |
L |
5.9502667905649 |
L(r)(E,1)/r! |
Ω |
0.23177503161145 |
Real period |
R |
12.836298088861 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998747 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56350br1 8050m1 |
Quadratic twists by: 5 -7 |