Atkin-Lehner |
5- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
117325w |
Isogeny class |
Conductor |
117325 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
Δ |
6823361833645703125 = 58 · 135 · 196 |
Discriminant |
Eigenvalues |
-2 -1 5- 2 2 13- 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-887458,-295935182] |
[a1,a2,a3,a4,a6] |
Generators |
[1742:-58663:1] [-442:3126:1] |
Generators of the group modulo torsion |
j |
4206161920/371293 |
j-invariant |
L |
5.7632205030119 |
L(r)(E,1)/r! |
Ω |
0.15642396836548 |
Real period |
R |
1.228119655068 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001407 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117325d1 325d2 |
Quadratic twists by: 5 -19 |