Atkin-Lehner |
2- 3- 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
51480bi |
Isogeny class |
Conductor |
51480 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
135168 |
Modular degree for the optimal curve |
Δ |
3607571682000 = 24 · 36 · 53 · 114 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-63738,-6192963] |
[a1,a2,a3,a4,a6] |
Generators |
[294:693:1] |
Generators of the group modulo torsion |
j |
2455113061103616/309291125 |
j-invariant |
L |
5.5779947769282 |
L(r)(E,1)/r! |
Ω |
0.30047146168379 |
Real period |
R |
4.6410354128728 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102960bb1 5720c1 |
Quadratic twists by: -4 -3 |