Atkin-Lehner |
2+ 3- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
7050k |
Isogeny class |
Conductor |
7050 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
31064062500 = 22 · 32 · 58 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -4 -2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-901,5948] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:116:1] |
Generators of the group modulo torsion |
j |
5168743489/1988100 |
j-invariant |
L |
3.0463043405832 |
L(r)(E,1)/r! |
Ω |
1.0688087944782 |
Real period |
R |
1.4250932235595 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
56400bn2 21150ca2 1410h2 |
Quadratic twists by: -4 -3 5 |