Atkin-Lehner |
5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
39325w |
Isogeny class |
Conductor |
39325 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
Δ |
256940702489453125 = 58 · 116 · 135 |
Discriminant |
Eigenvalues |
-2 1 5- -2 11- 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-297458,-57583256] |
[a1,a2,a3,a4,a6] |
Generators |
[-367:1512:1] [-292:2112:1] |
Generators of the group modulo torsion |
j |
4206161920/371293 |
j-invariant |
L |
5.244337522326 |
L(r)(E,1)/r! |
Ω |
0.20558137068609 |
Real period |
R |
0.85032632169362 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39325e1 325d2 |
Quadratic twists by: 5 -11 |