Atkin-Lehner |
3+ 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
21525a |
Isogeny class |
Conductor |
21525 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
66816 |
Modular degree for the optimal curve |
Δ |
-297897591796875 = -1 · 312 · 59 · 7 · 41 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7+ 0 4 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-10633,-927957] |
[a1,a2,a3,a4,a6] |
Generators |
[7897:701662:1] |
Generators of the group modulo torsion |
j |
-8509655351296/19065445875 |
j-invariant |
L |
3.5870587214573 |
L(r)(E,1)/r! |
Ω |
0.21991871491963 |
Real period |
R |
4.0777097151193 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64575n1 4305l1 |
Quadratic twists by: -3 5 |