Atkin-Lehner |
2- 3- 5+ 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
109650cx |
Isogeny class |
Conductor |
109650 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
5097600 |
Modular degree for the optimal curve |
Δ |
-8365631103515625000 = -1 · 23 · 3 · 521 · 17 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -4 -7 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2988463,1993088417] |
[a1,a2,a3,a4,a6] |
j |
-188906692800760971049/535400390625000 |
j-invariant |
L |
1.4006352702647 |
L(r)(E,1)/r! |
Ω |
0.2334392751015 |
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 |
21930b1 |
Quadratic twists by: 5 |