Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
101400bu |
Isogeny class |
Conductor |
101400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
34273200000000 = 210 · 3 · 58 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -3 13+ 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-35208,-2538912] |
[a1,a2,a3,a4,a6] |
Generators |
[-3012:3068:27] |
Generators of the group modulo torsion |
j |
422500/3 |
j-invariant |
L |
7.6546850861218 |
L(r)(E,1)/r! |
Ω |
0.3486776016197 |
Real period |
R |
3.658912538756 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999932375 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101400cd1 101400dr1 |
Quadratic twists by: 5 13 |