Atkin-Lehner |
2- 3+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
101400cr |
Isogeny class |
Conductor |
101400 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
-7909200000000 = -1 · 210 · 32 · 58 · 133 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 -3 13- -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-48208,4092412] |
[a1,a2,a3,a4,a6] |
Generators |
[142:300:1] [126:-52:1] |
Generators of the group modulo torsion |
j |
-14099380/9 |
j-invariant |
L |
9.4042529263062 |
L(r)(E,1)/r! |
Ω |
0.7314607113201 |
Real period |
R |
0.53570050427318 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000491 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101400bn1 101400x1 |
Quadratic twists by: 5 13 |