Atkin-Lehner |
2+ 3- 7+ 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
126378f |
Isogeny class |
Conductor |
126378 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
-147644287481126394 = -1 · 2 · 311 · 7 · 173 · 594 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ 3 -1 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,82665,-16085601] |
[a1,a2,a3,a4,a6] |
j |
85695543765271439/202529886805386 |
j-invariant |
L |
0.67409285972623 |
L(r)(E,1)/r! |
Ω |
0.16852359876898 |
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 |
42126v1 |
Quadratic twists by: -3 |