Atkin-Lehner |
2- 5- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
110110cr |
Isogeny class |
Conductor |
110110 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1419264 |
Modular degree for the optimal curve |
Δ |
230763766162930000 = 24 · 54 · 72 · 118 · 133 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 11- 13+ 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-153370,472407] |
[a1,a2,a3,a4,a6] |
Generators |
[-313:4391:1] |
Generators of the group modulo torsion |
j |
1861245499201/1076530000 |
j-invariant |
L |
9.3893303332239 |
L(r)(E,1)/r! |
Ω |
0.26581561142137 |
Real period |
R |
0.36794499636553 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012891 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110110ba1 |
Quadratic twists by: -11 |