Atkin-Lehner |
2- 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
34650cy |
Isogeny class |
Conductor |
34650 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
1166400 |
Modular degree for the optimal curve |
Δ |
-263915565200179200 = -1 · 218 · 36 · 52 · 73 · 115 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11- -2 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4641485,-3847791243] |
[a1,a2,a3,a4,a6] |
j |
-606773969327363726065/14480963796992 |
j-invariant |
L |
4.6285740491017 |
L(r)(E,1)/r! |
Ω |
0.051428600545764 |
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 |
3850b1 34650ce1 |
Quadratic twists by: -3 5 |