Atkin-Lehner |
2+ 3- 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
2190d |
Isogeny class |
Conductor |
2190 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
-10503459000 = -1 · 23 · 33 · 53 · 733 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 0 -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,121,-4894] |
[a1,a2,a3,a4,a6] |
Generators |
[1046:33312:1] |
Generators of the group modulo torsion |
j |
198257271191/10503459000 |
j-invariant |
L |
2.5190897920509 |
L(r)(E,1)/r! |
Ω |
0.61408396453731 |
Real period |
R |
4.1021911294312 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
17520k2 70080o2 6570bb2 10950r2 |
Quadratic twists by: -4 8 -3 5 |