Atkin-Lehner |
2- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
75200dt |
Isogeny class |
Conductor |
75200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
13289344000000000 = 216 · 59 · 473 |
Discriminant |
Eigenvalues |
2- 1 5- -1 -1 1 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-136833,-18721537] |
[a1,a2,a3,a4,a6] |
Generators |
[-233:752:1] [583:10000:1] |
Generators of the group modulo torsion |
j |
2213550644/103823 |
j-invariant |
L |
11.881587368508 |
L(r)(E,1)/r! |
Ω |
0.24894979208194 |
Real period |
R |
1.9886184126405 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999459 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75200bh1 18800l1 75200dh1 |
Quadratic twists by: -4 8 5 |