Atkin-Lehner |
2- 3+ 5- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
38940h |
Isogeny class |
Conductor |
38940 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
70656 |
Modular degree for the optimal curve |
Δ |
-401568750000 = -1 · 24 · 32 · 58 · 112 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 11- -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1755,10782] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:95:1] [9:165:1] |
Generators of the group modulo torsion |
j |
37341142974464/25098046875 |
j-invariant |
L |
7.5262562184392 |
L(r)(E,1)/r! |
Ω |
0.59576716412542 |
Real period |
R |
0.52637007875701 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116820i1 |
Quadratic twists by: -3 |