Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
39600cf |
Isogeny class |
Conductor |
39600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
19008000000 = 212 · 33 · 56 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11- 2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-675,1250] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:50:1] |
Generators of the group modulo torsion |
j |
19683/11 |
j-invariant |
L |
5.624274172946 |
L(r)(E,1)/r! |
Ω |
1.0567762681143 |
Real period |
R |
1.3305262293086 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999975 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2475a1 39600by1 1584k1 |
Quadratic twists by: -4 -3 5 |