Atkin-Lehner |
3- 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
30855s |
Isogeny class |
Conductor |
30855 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
242638115478515625 = 3 · 512 · 117 · 17 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 11- -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-401420,-95013225] |
[a1,a2,a3,a4,a6] |
Generators |
[-10770:40385:27] |
Generators of the group modulo torsion |
j |
4037984881634521/136962890625 |
j-invariant |
L |
4.2623235159786 |
L(r)(E,1)/r! |
Ω |
0.19006548189446 |
Real period |
R |
3.7375921476239 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92565bb3 2805e4 |
Quadratic twists by: -3 -11 |