Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
101400d |
Isogeny class |
Conductor |
101400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-102667500000000 = -1 · 28 · 35 · 510 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 -6 13+ -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2708,491412] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:716:1] |
Generators of the group modulo torsion |
j |
-5200/243 |
j-invariant |
L |
4.8597655733038 |
L(r)(E,1)/r! |
Ω |
0.49532182681331 |
Real period |
R |
4.9056646674121 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007638 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101400dq1 101400cc1 |
Quadratic twists by: 5 13 |