Atkin-Lehner |
3+ 5- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
21525s |
Isogeny class |
Conductor |
21525 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
14880 |
Modular degree for the optimal curve |
Δ |
-2354296875 = -1 · 3 · 58 · 72 · 41 |
Discriminant |
Eigenvalues |
-2 3+ 5- 7- -4 -4 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,42,2318] |
[a1,a2,a3,a4,a6] |
Generators |
[17:-88:1] |
Generators of the group modulo torsion |
j |
20480/6027 |
j-invariant |
L |
1.5596691812929 |
L(r)(E,1)/r! |
Ω |
1.1269300386965 |
Real period |
R |
0.23066637202206 |
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 |
64575bt1 21525y1 |
Quadratic twists by: -3 5 |