Atkin-Lehner |
2+ 3+ 7- 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
112518d |
Isogeny class |
Conductor |
112518 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
-5921593703424 = -1 · 210 · 39 · 7 · 19 · 472 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- -2 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-13461,615797] |
[a1,a2,a3,a4,a6] |
j |
-13705110463491/300848128 |
j-invariant |
L |
1.5136698320457 |
L(r)(E,1)/r! |
Ω |
0.75683532001213 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112518u1 |
Quadratic twists by: -3 |