Atkin-Lehner |
5+ 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
21805c |
Isogeny class |
Conductor |
21805 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3648 |
Modular degree for the optimal curve |
Δ |
-13584515 = -1 · 5 · 73 · 892 |
Discriminant |
Eigenvalues |
0 1 5+ 7- -3 1 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-191,970] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:44:1] [2:24:1] |
Generators of the group modulo torsion |
j |
-2258403328/39605 |
j-invariant |
L |
6.931875361281 |
L(r)(E,1)/r! |
Ω |
2.2376580687186 |
Real period |
R |
0.77445650188754 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109025c1 21805g1 |
Quadratic twists by: 5 -7 |