Atkin-Lehner |
2- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
115520cm |
Isogeny class |
Conductor |
115520 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
266897408000 = 214 · 53 · 194 |
Discriminant |
Eigenvalues |
2- -2 5- 0 5 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1925,20323] |
[a1,a2,a3,a4,a6] |
Generators |
[6:95:1] |
Generators of the group modulo torsion |
j |
369664/125 |
j-invariant |
L |
5.7655187571383 |
L(r)(E,1)/r! |
Ω |
0.90233067968459 |
Real period |
R |
0.70995391387927 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999622576 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115520t1 28880a1 115520cu1 |
Quadratic twists by: -4 8 -19 |