Atkin-Lehner |
2- 3- 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
112176y |
Isogeny class |
Conductor |
112176 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-32616315297792 = -1 · 213 · 38 · 192 · 412 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 -4 -6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5475,-315934] |
[a1,a2,a3,a4,a6] |
Generators |
[217:-2952:1] |
Generators of the group modulo torsion |
j |
-6078390625/10923138 |
j-invariant |
L |
4.4927758114995 |
L(r)(E,1)/r! |
Ω |
0.26178298340452 |
Real period |
R |
1.0726384339797 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999593006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14022a2 37392k2 |
Quadratic twists by: -4 -3 |