Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
5850bo |
Isogeny class |
Conductor |
5850 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-2562580800 = -1 · 26 · 36 · 52 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5+ -5 3 13+ 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-101975,12559407] |
[a1,a2,a3,a4,a6] |
Generators |
[185:-102:1] |
Generators of the group modulo torsion |
j |
-6434774386429585/140608 |
j-invariant |
L |
5.2609665258479 |
L(r)(E,1)/r! |
Ω |
1.0437363345901 |
Real period |
R |
0.42004274702782 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46800dp2 650b2 5850bb2 76050bx2 |
Quadratic twists by: -4 -3 5 13 |