Atkin-Lehner |
2- 3+ 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
117648u |
Isogeny class |
Conductor |
117648 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-223724617076736 = -1 · 212 · 33 · 196 · 43 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 0 -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4149,712250] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:770:1] [-17:798:1] |
Generators of the group modulo torsion |
j |
71421719949/2022972883 |
j-invariant |
L |
10.757535877071 |
L(r)(E,1)/r! |
Ω |
0.4208640638791 |
Real period |
R |
4.2600991634043 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999985515 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7353b2 117648r2 |
Quadratic twists by: -4 -3 |