Atkin-Lehner |
2- 3- 7- 19+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
112518bf |
Isogeny class |
Conductor |
112518 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
2952922392 = 23 · 310 · 7 · 19 · 47 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2400386,1432028585] |
[a1,a2,a3,a4,a6] |
Generators |
[895:-435:1] [12990:334187:8] |
Generators of the group modulo torsion |
j |
2098163219128665279193/4050648 |
j-invariant |
L |
15.594828573275 |
L(r)(E,1)/r! |
Ω |
0.65404128027949 |
Real period |
R |
7.9479328723188 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999432 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37506j4 |
Quadratic twists by: -3 |