Atkin-Lehner |
3- 5- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
38955s |
Isogeny class |
Conductor |
38955 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
64800 |
Modular degree for the optimal curve |
Δ |
-526111621875 = -1 · 33 · 55 · 76 · 53 |
Discriminant |
Eigenvalues |
0 3- 5- 7- -4 0 -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-10845,432506] |
[a1,a2,a3,a4,a6] |
Generators |
[30:-368:1] |
Generators of the group modulo torsion |
j |
-1199124250624/4471875 |
j-invariant |
L |
5.5372269261606 |
L(r)(E,1)/r! |
Ω |
0.93066562023508 |
Real period |
R |
0.19832496963357 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116865p1 795b1 |
Quadratic twists by: -3 -7 |