Atkin-Lehner |
3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
40425ck |
Isogeny class |
Conductor |
40425 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
2.6174024434544E+22 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 11+ 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-44054088,-112279495833] |
[a1,a2,a3,a4,a6] |
Generators |
[-31482:112467:8] |
Generators of the group modulo torsion |
j |
5143681768032498601/14238434358225 |
j-invariant |
L |
4.7334759272163 |
L(r)(E,1)/r! |
Ω |
0.05861047740563 |
Real period |
R |
5.0475999948541 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
121275ek2 8085f2 5775d2 |
Quadratic twists by: -3 5 -7 |