Atkin-Lehner |
2- 7+ 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
56392f |
Isogeny class |
Conductor |
56392 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
-2217671792 = -1 · 24 · 72 · 19 · 533 |
Discriminant |
Eigenvalues |
2- -1 2 7+ 3 -2 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-712,-7423] |
[a1,a2,a3,a4,a6] |
Generators |
[41:175:1] |
Generators of the group modulo torsion |
j |
-2498351450368/138604487 |
j-invariant |
L |
5.6309309372289 |
L(r)(E,1)/r! |
Ω |
0.46057604868589 |
Real period |
R |
3.0564610085959 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112784d1 |
Quadratic twists by: -4 |