Atkin-Lehner |
2+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
42350bi |
Isogeny class |
Conductor |
42350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-3.8445747614832E+22 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 11- 2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,7389508,5403390416] |
[a1,a2,a3,a4,a6] |
Generators |
[355035806:30593530361:195112] |
Generators of the group modulo torsion |
j |
12896863402851/11111230592 |
j-invariant |
L |
3.1302249490298 |
L(r)(E,1)/r! |
Ω |
0.074834564011685 |
Real period |
R |
10.457149681992 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42350da2 3850w2 |
Quadratic twists by: 5 -11 |