Atkin-Lehner |
3+ 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
12201b |
Isogeny class |
Conductor |
12201 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
38880 |
Modular degree for the optimal curve |
Δ |
-694856855784483 = -1 · 320 · 74 · 83 |
Discriminant |
Eigenvalues |
0 3+ 0 7+ -5 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-31523,2510360] |
[a1,a2,a3,a4,a6] |
Generators |
[15580:88511:125] |
Generators of the group modulo torsion |
j |
-1442872496128000/289403105283 |
j-invariant |
L |
2.6926637242584 |
L(r)(E,1)/r! |
Ω |
0.48784815822178 |
Real period |
R |
2.759735461617 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36603e1 12201i1 |
Quadratic twists by: -3 -7 |