Atkin-Lehner |
2- 3+ 5+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
55650cf |
Isogeny class |
Conductor |
55650 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
75505920000000 = 214 · 3 · 57 · 7 · 532 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -6 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-56588,5140781] |
[a1,a2,a3,a4,a6] |
Generators |
[125:137:1] |
Generators of the group modulo torsion |
j |
1282558550483449/4832378880 |
j-invariant |
L |
6.9276230333279 |
L(r)(E,1)/r! |
Ω |
0.61527307581683 |
Real period |
R |
0.80424487292142 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998788 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11130n1 |
Quadratic twists by: 5 |