Atkin-Lehner |
2- 3- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
21150cp |
Isogeny class |
Conductor |
21150 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-18502020000 = -1 · 25 · 39 · 54 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -5 -2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-455,7647] |
[a1,a2,a3,a4,a6] |
Generators |
[29:-150:1] |
Generators of the group modulo torsion |
j |
-22816825/40608 |
j-invariant |
L |
6.9969007175369 |
L(r)(E,1)/r! |
Ω |
1.0943841506625 |
Real period |
R |
0.10655765791962 |
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 |
7050b1 21150r1 |
Quadratic twists by: -3 5 |