Atkin-Lehner |
3- 5+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
119925ba |
Isogeny class |
Conductor |
119925 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
87425325 = 38 · 52 · 13 · 41 |
Discriminant |
Eigenvalues |
0 3- 5+ -3 -5 13- -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-300,-1949] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:4:1] |
Generators of the group modulo torsion |
j |
163840000/4797 |
j-invariant |
L |
2.5247149034122 |
L(r)(E,1)/r! |
Ω |
1.1492029157937 |
Real period |
R |
1.0984635195411 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997794325 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39975h1 119925bo1 |
Quadratic twists by: -3 5 |