Atkin-Lehner |
2- 3+ 31+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
8742g |
Isogeny class |
Conductor |
8742 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
60840 |
Modular degree for the optimal curve |
Δ |
-137642999808 = -1 · 215 · 3 · 313 · 47 |
Discriminant |
Eigenvalues |
2- 3+ -4 3 0 -4 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-196125,-33512589] |
[a1,a2,a3,a4,a6] |
j |
-834300915814216242001/137642999808 |
j-invariant |
L |
1.7014827993885 |
L(r)(E,1)/r! |
Ω |
0.1134321866259 |
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 |
69936bc1 26226h1 |
Quadratic twists by: -4 -3 |