Atkin-Lehner |
2- 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
5850bf |
Isogeny class |
Conductor |
5850 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
1056 |
Modular degree for the optimal curve |
Δ |
-17971200 = -1 · 211 · 33 · 52 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 2 13- -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-35,227] |
[a1,a2,a3,a4,a6] |
Generators |
[3:10:1] |
Generators of the group modulo torsion |
j |
-6838155/26624 |
j-invariant |
L |
5.6249079970224 |
L(r)(E,1)/r! |
Ω |
1.9059297751577 |
Real period |
R |
0.13414850828234 |
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 |
46800cg1 5850d1 5850f1 76050e1 |
Quadratic twists by: -4 -3 5 13 |