Atkin-Lehner |
2- 3- 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
123708l |
Isogeny class |
Conductor |
123708 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-382984133376 = -1 · 28 · 3 · 133 · 613 |
Discriminant |
Eigenvalues |
2- 3- 1 1 0 13- -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1525,-38089] |
[a1,a2,a3,a4,a6] |
Generators |
[589:14274:1] |
Generators of the group modulo torsion |
j |
-697827328/680943 |
j-invariant |
L |
9.7412295174166 |
L(r)(E,1)/r! |
Ω |
0.36740669662259 |
Real period |
R |
1.4729710170012 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000003801 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123708m1 |
Quadratic twists by: 13 |