Atkin-Lehner |
2+ 3- 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
105120f |
Isogeny class |
Conductor |
105120 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
3303302057409600 = 26 · 318 · 52 · 732 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1596513,776433112] |
[a1,a2,a3,a4,a6] |
Generators |
[1411212:7184879:1728] |
Generators of the group modulo torsion |
j |
9645696383080717504/70801227225 |
j-invariant |
L |
6.7554349029536 |
L(r)(E,1)/r! |
Ω |
0.40037055130883 |
Real period |
R |
8.4364782642834 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999931927 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
105120g1 35040q1 |
Quadratic twists by: -4 -3 |