Atkin-Lehner |
2+ 3- 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
124608bf |
Isogeny class |
Conductor |
124608 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-90839232 = -1 · 26 · 37 · 11 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11+ 1 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1737,27297] |
[a1,a2,a3,a4,a6] |
Generators |
[24:3:1] |
Generators of the group modulo torsion |
j |
-9061356040192/1419363 |
j-invariant |
L |
11.255083831619 |
L(r)(E,1)/r! |
Ω |
1.8441584322783 |
Real period |
R |
0.87187146309775 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000051423 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124608ck1 1947d1 |
Quadratic twists by: -4 8 |