Atkin-Lehner |
2+ 3+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
15264b |
Isogeny class |
Conductor |
15264 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
-534117888 = -1 · 29 · 39 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -5 3 -6 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,189,486] |
[a1,a2,a3,a4,a6] |
Generators |
[1:26:1] [9:54:1] |
Generators of the group modulo torsion |
j |
74088/53 |
j-invariant |
L |
5.7158106670066 |
L(r)(E,1)/r! |
Ω |
1.0447832672473 |
Real period |
R |
1.3677024810294 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999967 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15264a1 30528bd1 15264h1 |
Quadratic twists by: -4 8 -3 |