Atkin-Lehner |
2- 5- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
57200ce |
Isogeny class |
Conductor |
57200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
157300000000 = 28 · 58 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 1 5- -2 11+ 13- 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3333,70463] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:374:1] [-17:350:1] |
Generators of the group modulo torsion |
j |
40960000/1573 |
j-invariant |
L |
10.951831236862 |
L(r)(E,1)/r! |
Ω |
1.0162047271383 |
Real period |
R |
0.89809915138078 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999973 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14300l1 57200ba1 |
Quadratic twists by: -4 5 |