Atkin-Lehner |
2- 5- 19+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
127300i |
Isogeny class |
Conductor |
127300 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
99456 |
Modular degree for the optimal curve |
Δ |
-48374000 = -1 · 24 · 53 · 192 · 67 |
Discriminant |
Eigenvalues |
2- -3 5- -5 -2 -6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,35,325] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:5:1] [-4:11:1] [1:-19:1] |
Generators of the group modulo torsion |
j |
2370816/24187 |
j-invariant |
L |
9.3676784064556 |
L(r)(E,1)/r! |
Ω |
1.4777179061728 |
Real period |
R |
0.52827394456238 |
Regulator |
r |
3 |
Rank of the group of rational points |
S |
0.99999999994909 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127300l1 |
Quadratic twists by: 5 |