Atkin-Lehner |
3- 5+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
21645d |
Isogeny class |
Conductor |
21645 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
710064225 = 310 · 52 · 13 · 37 |
Discriminant |
Eigenvalues |
-1 3- 5+ -2 -2 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2228,41006] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:67:1] [0:202:1] |
Generators of the group modulo torsion |
j |
1677100110841/974025 |
j-invariant |
L |
4.4432641645577 |
L(r)(E,1)/r! |
Ω |
1.588104972317 |
Real period |
R |
1.398920172788 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7215i1 108225y1 |
Quadratic twists by: -3 5 |