Atkin-Lehner |
2+ 3- 5+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
104370bm |
Isogeny class |
Conductor |
104370 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
6924288 |
Modular degree for the optimal curve |
Δ |
-4.6868551577165E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-34179,1041595006] |
[a1,a2,a3,a4,a6] |
Generators |
[-2026:258259:8] |
Generators of the group modulo torsion |
j |
-109421116687/11614464000000 |
j-invariant |
L |
3.6551437993932 |
L(r)(E,1)/r! |
Ω |
0.13257268328729 |
Real period |
R |
3.4463583756479 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999451708 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104370t1 |
Quadratic twists by: -7 |