Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
101400a |
Isogeny class |
Conductor |
101400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-219024000000 = -1 · 210 · 34 · 56 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 13+ 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1192,15612] |
[a1,a2,a3,a4,a6] |
Generators |
[26:252:1] |
Generators of the group modulo torsion |
j |
69212/81 |
j-invariant |
L |
5.0479383868254 |
L(r)(E,1)/r! |
Ω |
0.66521262478925 |
Real period |
R |
1.8971146209435 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001446 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4056q1 101400bz1 |
Quadratic twists by: 5 13 |