Atkin-Lehner |
2- 3- 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
75810di |
Isogeny class |
Conductor |
75810 |
Conductor |
∏ cp |
260 |
Product of Tamagawa factors cp |
deg |
27664000 |
Modular degree for the optimal curve |
Δ |
-1.3117319710819E+25 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -3 -5 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-168494050,-859690592188] |
[a1,a2,a3,a4,a6] |
j |
-1639438054438062619/40650200801280 |
j-invariant |
L |
5.4395198327846 |
L(r)(E,1)/r! |
Ω |
0.02092123026915 |
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 |
75810s1 |
Quadratic twists by: -19 |