Atkin-Lehner |
2- 3- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
124608dk |
Isogeny class |
Conductor |
124608 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-16419471552 = -1 · 26 · 33 · 115 · 59 |
Discriminant |
Eigenvalues |
2- 3- 0 0 11- 1 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-203,-6333] |
[a1,a2,a3,a4,a6] |
Generators |
[34:165:1] |
Generators of the group modulo torsion |
j |
-14526784000/256554243 |
j-invariant |
L |
9.642673185965 |
L(r)(E,1)/r! |
Ω |
0.53196219514735 |
Real period |
R |
1.2084409074639 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001904 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124608bx1 62304q1 |
Quadratic twists by: -4 8 |