Atkin-Lehner |
2- 3- 7+ 13- 71- |
Signs for the Atkin-Lehner involutions |
Class |
116298bh |
Isogeny class |
Conductor |
116298 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
1849344 |
Modular degree for the optimal curve |
Δ |
-265176414522072144 = -1 · 24 · 312 · 7 · 137 · 71 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 6 13- 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-784058,-268170807] |
[a1,a2,a3,a4,a6] |
Generators |
[6623:530559:1] |
Generators of the group modulo torsion |
j |
-73120682398346757721/363753655037136 |
j-invariant |
L |
10.861277443429 |
L(r)(E,1)/r! |
Ω |
0.080196115343857 |
Real period |
R |
1.2092317817846 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38766c1 |
Quadratic twists by: -3 |