Atkin-Lehner |
3- 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
21525ba |
Isogeny class |
Conductor |
21525 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
605390625 = 33 · 57 · 7 · 41 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- -4 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-20188,1102367] |
[a1,a2,a3,a4,a6] |
Generators |
[37:619:1] [62:269:1] |
Generators of the group modulo torsion |
j |
58235112505081/38745 |
j-invariant |
L |
5.8335144809073 |
L(r)(E,1)/r! |
Ω |
1.3469802339236 |
Real period |
R |
1.4436030893381 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64575z1 4305d1 |
Quadratic twists by: -3 5 |