Atkin-Lehner |
2+ 3+ 5- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
113520h |
Isogeny class |
Conductor |
113520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4686105600 = 210 · 32 · 52 · 11 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 11+ -4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2040,36000] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:258:1] |
Generators of the group modulo torsion |
j |
917333238244/4576275 |
j-invariant |
L |
4.8226476193199 |
L(r)(E,1)/r! |
Ω |
1.3802221009145 |
Real period |
R |
0.87352746185157 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999687033 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56760j2 |
Quadratic twists by: -4 |