Atkin-Lehner |
2+ 3- 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
127200bf |
Isogeny class |
Conductor |
127200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
349440 |
Modular degree for the optimal curve |
Δ |
-309096000000 = -1 · 29 · 36 · 56 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -3 6 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-20408,1115688] |
[a1,a2,a3,a4,a6] |
Generators |
[82:-18:1] |
Generators of the group modulo torsion |
j |
-117504998792/38637 |
j-invariant |
L |
11.483459680979 |
L(r)(E,1)/r! |
Ω |
0.94898993855205 |
Real period |
R |
1.0083931728582 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999818998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127200ck1 5088e1 |
Quadratic twists by: -4 5 |