Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
20328ba |
Isogeny class |
Conductor |
20328 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
2581818624 = 28 · 35 · 73 · 112 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 11- -6 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-425,2187] |
[a1,a2,a3,a4,a6] |
Generators |
[1:42:1] |
Generators of the group modulo torsion |
j |
274717696/83349 |
j-invariant |
L |
6.7347832152289 |
L(r)(E,1)/r! |
Ω |
1.3377539033537 |
Real period |
R |
0.16781320785397 |
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 |
40656f1 60984bg1 20328d1 |
Quadratic twists by: -4 -3 -11 |