Atkin-Lehner |
2+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
39200bb |
Isogeny class |
Conductor |
39200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
51200 |
Modular degree for the optimal curve |
Δ |
-2744000000000 = -1 · 212 · 59 · 73 |
Discriminant |
Eigenvalues |
2+ 1 5- 7- -5 3 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2333,89963] |
[a1,a2,a3,a4,a6] |
Generators |
[233:3500:1] |
Generators of the group modulo torsion |
j |
-512 |
j-invariant |
L |
6.4098824907813 |
L(r)(E,1)/r! |
Ω |
0.71940086108335 |
Real period |
R |
1.1137536173383 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999975 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39200cx1 78400fc1 39200cy1 39200bg1 |
Quadratic twists by: -4 8 5 -7 |