Atkin-Lehner |
2+ 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
124950do |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1128960 |
Modular degree for the optimal curve |
Δ |
-12403329651562500 = -1 · 22 · 34 · 58 · 78 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -3 -3 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-181326,-30213452] |
[a1,a2,a3,a4,a6] |
j |
-292789945/5508 |
j-invariant |
L |
0.92439958412433 |
L(r)(E,1)/r! |
Ω |
0.11555010929521 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124950en1 124950bx1 |
Quadratic twists by: 5 -7 |